The scientist that discovered that the orbit of planets are ellipses is johannes Kepler. That is option E.
What is elliptical planet?Elliptical planets are those planets that are not round in shape but are ellipses which is the shape of a circle that has been stretched in one direction as seen with oval shape.
The scientist johannes Kepler, who is also a mathematician discovered that orbits of planets are elliptic in shape through his work on planet orbits.
He successfully proved this through his three laws of planetary motion that include the following:
The first law: The planets move in elliptical orbits with the Sun at one focus.The second law: The time necessary to traverse any arc of a planetary orbit is proportional to the area of the sector between the central body and that arcThe third law: There is an exact relationship between the squares of the planets’ periodic times and the cubes of their mean distances from the Sun.Learn more about planets here:
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a section of a highway is known to have a free-flow speed of 90 km/h and a capacity of 3300 veh/h. if we assume a linear speed-density relationship, what is the value of jam density?
The value of jam density is 17.864 kml.
Jam density refers to excessive visitor density while site visitors waft stops absolutely, commonly within the range of 185–250 cars in keeping with mile per lane. but, calculations approximately congested networks are greater complex and rely extra on empirical research and extrapolations from real avenues counts on on.
Density is increased with the aid of human beings joining a street from on-ramps, and this causes automobiles to gradually down, i.e. human beings are generally horrific at merging at pace. Then some humans who've been held up inside the left-hand lane flow to the center lane which causes the identical problem in the middle lane – visitors back up.
Given,
у = 90 km/ max = 3300 ven Ihr Sa Calculate Jam density,
• ІК, 4- 27 = 900 x Е. 4 allega 40 vellum) Put all valu
- 224² = 1980 4 - 28350 to a 224²-19804 + 28350 20 after folving
TH=72.14 kalho and 14a 17.864 kml.
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a circular platform of radius 4.0 m is initially spinning with an angular velocity of 8.0 rad/s. the platform accelerates for 2.0 s while passing through a displacement of 10. rad. what is the angular acceleration of the system.
0.5rad/s^2 is the value of angular velocity. Angular velocity can be defined as the speed at which an item rotates or revolves around an axis.
What is angular velocity?The rotation rate, which refers to how quickly an item rotates or circles in relation to another point, is measured vectorially by angular velocity. Angular velocity can be defined as the speed at which an item rotates or revolves around an axis.
The speed at which the angular position or orientation of an object changes over time is depicted in physics by the terms "angular velocity" or "rotational velocity" ( or ), also known as "angular frequency vector,"[1] and "angular frequency vector vector." The pseudovector's direction is normal to the instantaneous plane of rotation or angular displacement, and its magnitude corresponds to the object's angular speed, or the rate at which it rotates or revolves.
Angular velocity=Δw/Δt
=w2-w1/t2-t1
=8.0-4.0/10-2.0
=0.5 rad/s^2
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A student conducts an experiment to check how high a basketball can bounce when different volumes of air are filled inside. Which of these steps will most likely help the student get reliable results?(1 point)
Changing the ball for each trial
Doing only one trial with the ball
Doing at least three trials with the ball
Using a different watch to time each trial
pre-lab form dynamic track collisions: conservation of linear momentum 1. what is an elastic collision? 2. what is an inelastic collision?
The conservation of momentum in an elastic collision is conserved whereas in an inelastic collision it is conserved but kinetic energy is lost.
When an elastic collision occurs in an isolated system, the total momentum of the object system is conserved. Assuming no net external forces acting on the objects, the momentum of all objects before the collision equals the momentum of all objects after the collision.
An inelastic collision is a type of collision that occurs between two objects in which energy is lost. In an inelastic collision, momentum is conserved, but kinetic energy is not. Most collisions in everyday life are inelastic in nature.
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An object has an acceleration of 8.0 m/s/s. If the net force experienced by the object is decreased by a factor of 3.7 and if the mass of the object is decreased by a factor of 2.6, then the new acceleration would be ____ m/s/s.
The new acceleration would be 5.62162m/s²
Given - acceleration a=8m/s²
As per question force = F/3.7
and mass = m/2.6
To find :- new acceleration α°
Formula: F=ma
Calculation : F/3.7= [mα°]/2.6
Divide these 2 equations
2.6= 3.7(α°/a)
α°= 2.6 x 8 / 3.7
α°=5.62162m/s²
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Incisors (front teeth) act as wedges in the human body. Which change would increase the mechanical advantage of incisors?
a decrease in the distance of the teeth from the fulcrum
an increase in the distance of the teeth from the fulcrum
an increase in the thickness at the widest part of the teeth and no change in the length of the teeth
an increase in the length of the teeth and no change in the thickness at the widest part of the teeth
The change which would increase the mechanical advantage of incisors is an increase in the length of the teeth and no change in the thickness at the widest part of the teeth and is denoted as option D.
What is Teeth?They are referred to as a hard structure as a result of it being rich in minerals and is used to chew food so as to increase the surface area for enzymatic action during digestion.
There are different types of teeth such as incisor, molar etc with each having their unique structure and function. Incisors are used to cut food and are located in the middle region of the upper and lower jaw.
The mechanical advantage of incisors will be increased by increasing the length as it helps to bite into the food more and there should be no change in the thickness at the widest part of the teeth as changes could lead to difficulty in the teeth cutting through the substance.
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A force is applied to stop a moving shopping cart. Increasing the time interval over which the force is applied.
We are given with a case of a moving shopping cart.
We are asked , how to increase the time, change the force.
For that, if we reduce the applied force in order to increase the time interval.
Generally, if we know the force applied and time taken, we can calculate the change in momentum.
As, Force, F = dP/dt
i.e. Rate of change of momentum w.r.t. time is Force.
So, dP = F.dt
Unit of Force is Newton, N in MKS (metre kilogram second) system.
Unit of Force is Dyne in CGS (centimetre gram second) system.
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Calculate the velocity of the 2.0 kg mass just before it hits the
rocks when it is dropped from a height of 16 m above the surface
of the rocks. Give the unit.
Velocity:........
Unit: .......
The velocity of the 2.0 kg mass just before it hits the rocks when it is dropped from a height of 16 m above the surface of the rocks will be 17.738 m/s in downward direction
given
u = 0
m= mass = 2 kg
height = 16 m
v = ?
using kinematics equation
-s = ut - 1/2* g * [tex]t^{2}[/tex]
t = [tex]\sqrt{2s/g}[/tex]
time = [tex]\sqrt{(2*16) / 9.8}[/tex]
= [tex]\sqrt{3.27}[/tex]
= 1.81 seconds
v = u - gt
v = -g t = -9.8 * 1.81 = -17.738 m/s
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cords of connective tissue that connect MUSCLES TO BONES
Answer:
Tendon
Explanation:
Tendons are a type of connective tissue that attach muscle to bone. Hope this helps! :)
A sweptwing airplane with weak static directional stability and increased dihedral causes an increase in...A. Mach tuck tendencyB. Dutch roll tendencyC. Longitudinal stability
A sweptwing airplane with weak static directional stability and increased dihedral causes an increase in Dutch roll tendency. Option B.
Increasing speed increases the air flowing over and under the wing. An increase in the relative wind influence on the underside of the wing creates a large amount of air that is deflected downward, creating more lift. This is because the outer wing travels a longer distance than the inner wing, but both complete their rotation in the same amount of time.
As a result, the outer wing flies faster than the inner wing creating more lift. Since the bottom surface of the airfoil has a larger radius of curvature than the top surface, lift begins to increase with the angle of attack. Therefore the pressure gradient is downward. This means that the lower surface has a higher pressure than the upper surface and the wing receives a lift.
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a student walks 40 meters along a hallway that heads due north, then turns and walks 30 meters along another hallway that heads due east. what is the magnitude of the student's resultant displacement?
The magnitude of the student's resultant displacement is 50 m.
To find the magnitude of displacement we must make all the paths.
Pick the first point as a starting point.Pick the last point as a finished point.Then make a straight line from starting point to the finished point. This line is the displacement. If the path makes a right triangle we can use Pythagorean theory.Look at the picture
40 meters due northThen turns and walks 30 meters due east. The displacement line is the red line.The path makes a right triangle.d² = 40²+30²
d² = 1,600+900
d² = 2,500
[tex]d \:=\: \sqrt{2,500}[/tex]
d = 50 m
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How much net force is required to accelerate a 2000 kg car at 3.00 m/s^2
The net force required to accelerate a car is 6000 N.
Force is defined as the product of the mass and acceleration of the body. Force is used to changing the velocity that is to accelerate an object or a body of a particular mass. The unit of Force is Newton or kg m/s^2.
The formula used to calculate the net force is :
F = ma
where, F = Force
m = mass = 2000 kg
a = acceleration = 3.00 m/s^2
∴ F = 2000*3
F = 6000 N
Thus, to accelerate the car at 3.00 m/s^2 of mass 2000 kg net force required is 6000 N.
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a roller coaster moves 85 m horizontally, then travels 45 m at an angel of 30 above the horizontal. what is its displacement from its starting point? use graphical techniques.
Explanation:
done with the meeting today so I m ready for bed k tai you
Answer:
Explanation:
Dx = 85 + 45·cos 30° = 85 + 45·(√3 / 2) ≈ 124 m
Dy = 45·sin 30° = 45·(1/2) = 22.5 m
D = √ (Dx² + Dy²) = √ (124² + 22.5²) ≈ 126 m
what are the four types of solar energy utilization? group of answer choices active solar solar thermal energy conversion photovoltaic cells wind energy tidal power passive solar
Solar energy is defined as the conversion of energy that is present in the sun and is one of the renewable energies.
Solar energy can be divided into two categories depending on how it is converted and the type of energy it is converted into.
Passive solar energy and active solar energy belong to the mode of conversion Solar thermal energy, photovoltaic solar energy and concentrating solar energy.Passive solar energy refers to capturing solar energy without the use of mechanical devices.Active solar energy uses mechanical devices to collect, store and distribute energy.Solar thermal energy is the energy which is obtained by converting solar energy into heat.Photovoltaic solar energy is energy obtained by converting solar energy into electricity.Concentrated Solar Energy is the type of thermal energy used to produce solar energy.To know more about Solar energy,
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A person is electrically charged, but because of his sneakers with rubber soles, the charge cannot flow into the ground. What happens when he touches a friend who is barefoot?
Answer:
See below
Explanation:
Your 'friend ' IS electrically grounded....so the electric charge will flow from you through your friend to the ground.....likely BOTH of you will feel a shock.
in comparison to the atmosphere of venus, the vastly different atmospheric character of mars is likely due to a/an
Reverse greenhouse gases are most likely the root cause of Venus' atmosphere and Mars' drastically differing atmospheric characteristics.
The greenhouse effect causes the Earth to absorb more sunlight, heating the planet.
The process by which solar radiation out of a celestial object's sun is absorbed and scattered by the object's earth's atmosphere prevents that energy from reaching the object's surface is known as the anti-greenhouse effect, which would be the opposite of something like the greenhouse effect.
A runaway refrigerator, also known as the reverse greenhouse effect, happened on Mars. Mars' original temperature was lower than that of the Earth because Mars was a little further from the Sun. This indicated that a layer of liquid water formed on the surface when the water vapor condensed.
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Earth's equator receives more direct sunlight than the regions to its north and south. this distribution of sunlight accounts directly for which phenomenon
This happens because of the movement of rising air currents away from the equator.
Equator is an imaginary circle, which divides the Earth in half; while the Poles are the two points (the North Pole and the South Pole) that are crossed by the axis of rotation of the Earth. In Equator the temperature is hot, while in the Poles it is cold.
So when there is rising in the air currents movements away from the equator then whatever sunlight reflections or absorptions made by airs are reduced so in that area air density is less an sue to that sunlight is more present.
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an 80.0 kg astronaut carrying a 15.0 kg tool kit is drifting away from the space station at a speed of 1.25 m/s. a) if she throws the tool kit away from the space station with a speed of 6.00 m/s, what is her final speed and direction?
The final speed of the astronaut at the space station is 0.36 m/s and the direction will be opposite to the direction of the tool kit thrown.
The mass of the astronaut = 80 kg
The mass of the tool kit = 15 kg
The speed of the space station = 1.25 m/s
The speed of the tool kit threw = 6 m/s
The final speed of the astronaut can be found using the conservation of momentum formula,
[tex]\displaystyle m_{1}v_{f1} + m_{2}v_{f2} = m_{1}v_{i1} + m_{2}v_{i2}[/tex]
where m₁ is the mass of the astronaut
m₂ is the mass of the tool kit
[tex]\displaystyle v_{i1}[/tex] and [tex]\displaystyle v_{i2}[/tex] is the speed of the space station
[tex]\displaystyle v_{f1}[/tex] is the speed of the astronaut after throwing the toolkit
Let us substitute the known values in the above equation, we get
(80 x [tex]\displaystyle v_{f1}[/tex]) + (15 x 6) = (80 x 1.25) + (15 x 1.25)
(80 x [tex]\displaystyle v_{f1}[/tex]) + 90 = 100 + 18.75
80 x [tex]\displaystyle v_{f1}[/tex] = 118.75 - 90
80 x [tex]\displaystyle v_{f1}[/tex] = 28.75
[tex]\displaystyle v_{f1}[/tex] = 28.75 / 80
= 0.36 m/s
Therefore, the final speed of the astronaut is 0.36 m/s
By newton's third law, for every action, there will be an equal and opposite reaction. Thus, the direction of the astronaut's direction will be against the direction of the tool kit thrown.
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an athlete runs with velocity 12 km/h12 km/h for 55 minutes, 14 km/h14 km/h for the next 22 minutes, and 19 km/h19 km/h for other 66 minutes. compute the total distance traveled. (use decimal notation. give your answer to two decimal places.)
Total distance travelled by the athlete is 37.03km as it is calculated by the expression of distance in terms of speed and time.
Velocity is the distance travelled by a moving body per unit time . Distance travelled is the speed unit time.here an athlete runs with velocity 12 km/hr in 55 min, 14 km/hr in next 22 min and 19 km/hr for the next 66 min.
55min= 55/60hr ,
22min=22/60hr ,
66 min= 66/60 hr.
Distance= speed . time
Putting these in the expression
Total speed= 55/60 hr..12 km +22/60 hr. .14 km/hr + 66/60hr . 19 km/hr.
= 37.03 km
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Body systems work together to perform all the functions necessary for the survival of
An organism
C. Explain why the failure of one organ or organ
system can affect the function of other body
systems in an organism.
Explanation:
Body systems work together to perform all the functions necessary for the survival of
An organism
C. Explain why the failure of one organ or organ
system can affect the function of other body
systems in an organism.
consider a uniform solid sphere of radius rrr and mass mmm rolling without slipping. which form of its kinetic energy is larger, translational or rotational?
The form of kinetic energy is that is larger is translational kinetic energy.
The translational kinetic energy is given by,
TK = 1/2mv²
m is the mass of the sphere,
v is the translational speed of sphere.
The rotational kinetic energy is given by,
RE = 1/2IW²
I is the moment of inertia,
W is the angular speed of the sphere.
The moment of inertia of the solid sphere is 2/5mr²
r is the radius of the sphere,
Angular speed W = v/r
Putting these values,
RE = 1/2 x 2/5mr² x v²/r²
RE = (1/2 x 2/5)mv²
RE = 1/5mv²
Comparing both the energy we can see,
The translational kinetic energy is more as compared to rotational kinetic energy.
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enceladus is an icy moon of saturn experiencing tidal forces because of an elliptical orbit due to an orbital resonance with another moon dione. what are the consequences of tidal heating of enceladus because of this elliptical orbit?
The main consequence of tidal heating on Enceladus because of this elliptical orbit is that it occasionally brings the moon closer to Saturn and occasionally farther away.
When Dione, a bigger moon, orbits Saturn once, Enceladus orbits twice. Enceladus' orbit is made elliptical by Dione's gravity. This causes tidal heating inside the moon, and the following effects also:
The extremely hot geysers on the Enceladus moon, which shoot water into space, are caused by this.The "tiger stripes" in Enceladus' south pole, which are active fissures, are where the particles are released.The presence of salt in the plumes suggests that the frozen shell may be hiding an ocean of liquid water.But the ultimate cause of the geological activity on this moon had remained a mystery. Instead of a circular orbit, Enceladus orbits Saturn in an elliptical distortion. Saturn's gravity pulls and squeezes the moon as a result, heating its innards and allowing geological activity on the frozen moon.
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Emry weighed her empty backpack with a spring scale. She found that the pack weighed 8.1 N. Suppose she picks up her backpack from a desktop and lifts it through a height of 42 cm. How much gravitational potential energy does the backpack gain? (show the steps you followed to solve the problem - ie. the formula, calculations, and final answer) ROUND YOUR ANSWER TO 1 DECIMAL PLACE.
The gravitational potential energy is equal to 8.1 Newton times 0.42 meters is 3.402 joules.
What is meant by gravitation potential energy?Gravitational potential energy refers to the energy that an object has or obtains when its position changes as just a result of being surrounded by a gravitational field. An energy that is linked to gravitation or the gravitational field is known as gravitational potential energy.
Briefing:The energy that any object stores as a result of its position is known as gravitational potential energy.
The gravitational Potential energy is = mgh
Where m= mass
g = gravitational acceleration
h= height
The height of bag uplift = 42cm =0.42 meters
Now we have the weight which is 8.1 N
Weight in Newton = mass × gravitational acceleration
So if we have weight, Potential energy is = w×h
Therefore, after 42 cm of uplift, the gravitational potential energy is equal to 8.1 Newton times 0.42 meters, or 3.402 joules.
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In 1924, edwin hubble proved that the andromeda galaxy lay far beyond the bounds of the milky way, thereby putting to rest the idea that it might have been a cloud within our own galaxy. What key observation enabled him to prove this?.
Key observation that enabled Edwin Hubble to prove that the Andromeda galaxy laid far beyond the bounds of the Milky Way, thereby putting to rest the idea that it might have been a cloud within our own galaxy, was individual Cepheid variable stars.
The Discovery of the Andromeda GalaxyThe Andromeda galaxy was always thought to be a nebula within our own galaxy, the Milky Way. A Persian astronomer, Abd al-Rahman al-Sufi, was the first to formally describe the Andromeda as a nebulous smear (small cloud).
It wasn't until Edwin Hubble's discovery in 1925, when he identified extragalactic Cepheid variable stars for the first time on astronomical photos of Andromeda in 1925, that the Andromeda galaxy was eventually concluded to be an independent galaxy.
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Refrigerant-134a is expanded adiabatically from 100 psia and 100°f to a pressure of 10 psia. Determine the entropy generation for this process, in btu/lbm·r.
To know adiabatically process to calculate the entropy generation.
What is entropy?
Entropy is the amount of thermal energy per temperature unit in a system that cannot be used to carry out practical work. Entropy also functions as a stand-in for a system's molecular disorder or unpredictability because work is generated by ordered molecular motion.
What is an adiabatic process?
The thermodynamic process in which neither the system's expansion nor its compression causes heat to be transferred to its surroundings.
R- 134 a
at p₁= 100 psia, T₁= 100°f and p₂= 10 psia
using steam table A-13E
at p= 100psia, at T= 100°f
H₁= 118.90 btu/lbm s₁= 0.229 btu/lbm-°r
at it expanded adiabatically, therefore entropy will be constant
∴ h₁= h₂= 118.9 btu/lbm
∴ at p₂= 10 psia
using steam table A-13E
at p= 10 psia
T°f h(btu/lbm) s(btu/lbm-°r)
60 115.67 0.26531
80 119.68 0.27288
as we can see the h₂ is lie between 60°f and 80°f
by interpolation, we can find s₂
115.67-h₂/115.67-119.68=0.26531-s₂/0.26531-0.27288
115.67-118.9/115.67-118.9=0.26531-s₂/0.26531-0.27288
S₂= o.27288(btu/lbm-°R)
Entropy generation
Δs= s₂-s₁
=0.27288-0.229
Δs= 0.04388(btu/lbm-°R)
Therefore, the entropy generation is 0.04388(btu/lbm-°R)
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a child and his sled have a combined mass of 40 kg. the sled/child system has a speed of 5 m/s speed at the top of a 10 m high slope. the sled and child descend the hill linearly along a distance of 100 m. determine the speed of the child and sled at the bottom of the 100 m slope, if the force of friction between the sled and snow is 20 n.
The speed of the child and sled at the bottom of the slope is 11 m/s.
What is mechanical energy?Mechanical energy, is the sum of potential energy and kinetic energy. The principle of conservation of mechanical energy states that mechanical energy is constant if an isolated system is subjected to only conservative forces.
Combined mass (m) = 40 kg
Speed at top of slope (v) = 5 m/s
Height of slope (h) = 10 m
Entire range of the slope (d) = 100 m
Force of friction (F) = -20 N
Work done by friction (W) = F × d
= -20 × 100
= -2000 J
Kinetic energy (KE) of sled at the top of slope = ¹/₂ mv²
= ¹/₂ × 40 × 5²
= 500 J
Potential energy (PE) of sled at the top of slope = mgh
= 40 × 9.8 × 10
= 3920 J
Now, total energy (E) of sled/child system at the top of slope = KE + PE
= 500 + 3920
= 4420 J
So, the energy left at the bottom of slope:
4420 J - 2000 J
= 2420 J
Now this lost energy is converted into kinetic energy of the system:
KE = ¹/₂ mv²
2420 J = ¹/₂ × 40 × v²
v² = 121
v = 11 m/s
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niobium metal becomes a superconductor when cooled below 9 k. its superconductivity is destroyed when the surface magnetic field exceeds 0.100 t. in the absence of any external magnetic field, determine the maximum current a 2.60-mm-diameter niobium wire can carry and remain superconducting
Niobium wire with a 2.60 mm diameter has a maximum current capacity of 500 A while still remaining superconducting.
Describe the present.Current is the rate at which charge passes from one point on a circuit to another. In a circuit, a significant current flows when several coulombs or charge pass over the cross section of a wire. When the charge carriers are firmly packed inside the wire, high currents can be generated at low speeds.
What do current and electron actually mean?Electron movement is referred to as electron current. The positive terminal receives electrons that are released by the negative terminal. Traditional current, usually referred to as just current, exhibits behavior consistent with positive charge carriers being the source of current flow. Regular current is received at the positive end and then flows to a negative terminal.
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which graph best represents the relationship between the velocity of an object thrown straight upward from Earth's surface and the time that elapses while it is in the air?
The graph that best represents the relationship between the velocity of an object thrown straight upward from the Earth's surface and the time that elapses while it is in the air is (option D)
What is Velocity?Velocity is the directional speed of a moving object as an indicator of its rate of change in location as perceived from a certain frame of reference and measured by a specific time standard.
In other words, velocity is the primary indication of an object's location as well as its speed. It is defined as the distance traveled by an item in one unit of time. The displacement of an item in unit time is defined as velocity.
The equation that speaks to the velocity at a vertically upwards object that is accelerated against gravity and time is given as:
v = u + at; where
v = velocity
u = point from which the object starts to move
a is acceleration; and
t is time.
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Full Question:
See attached image
3. Some surfboards weigh more than others. How does a board’s weight affect the amount of force needed to get it moving?
The weight of the board influences the amount of effort required to move it because if it were too heavy, it would just sink, and if it were too light, it would simply float away.
The gravitational pull of a second, significantly bigger object, like the Earth or Moon, on a first object is known as weight. According to the universal law of gravity, any two objects will gravitate toward one another due to their masses with a force that is inversely proportional to the square of the distance between them and precisely proportional to the product of their masses. The source of weight is this law. Because of this, larger objects naturally weigh more when placed in the same location. However, the further an object is from the Earth, the less weight it has. An object's weight at the South Pole is somewhat higher than its weight at the North Pole because the Earth's polar radius is slightly less than its equatorial radius.
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you are standing on a skateboard, initially at rest. a friend throws a very heavy ball towards you. you can either catch the object or deflect the object back towards your friend (such that it moves away from you with the same speed as it was originally thrown). what should you do in order to minimize your speed on the skateboard? you are standing on a skateboard, initially at rest. a friend throws a very heavy ball towards you. you can either catch the object or deflect the object back towards your friend (such that it moves away from you with the same speed as it was originally thrown). what should you do in order to minimize your speed on the skateboard? catch the ball. deflect the ball. your final speed on the skateboard will be the same regardless whether you catch the ball or deflect the ball.
Catching the ball would result in a reduced speed.
Simply put, what is a momentum?A quality that a moving body possesses due to its mass and motion, and which is equal to the sum of the body's mass and velocity.
You ought to catch the ball to reduce the pace of the skateboard.
Assume that "M" is the ball's mass, "m" is the skater's mass, "V0" is the speed at which the ball was thrown, and "Vs" is the skater's speed.
If the skater catches the ball according to the law of conservation of momentum:
[tex]M*V_{0}+ m*0=(m + M)*V_{s}[/tex]
[tex]V_{s}=\frac{M*(V_{0}-V_{s })}{m}[/tex]
The ball will assume a new velocity with a direction opposite to that of the skater if the skater deflects the ball; let that new velocity be "Vb":
Since:
[tex]V_{0}-V_{s} < V_{0}+V_{b}[/tex]
Catching the ball would result in a reduced speed.
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The question you looking for
You are standing on a skateboard, initially at rest. A friend throws a very heavy ball towards you. You can either catch the object or deflect the object back towards your friend (such that it moves away from you with the same speed as it was originally thrown). What should you do in order to MINIMIZE your speed on the skateboard?
Choose one of the following three answers.
A) Your final speed on the skateboard will be the same regardless whether you catch the ball or deflect the ball.
B) You should catch the hall.
B) You should deflect the ball