The coefficients of static and kinetic friction between crate and floor are
0.25 and 0.176 respectively.
When a body is at rest and if a force is applied to move it, then it would require the force which is equal to the static friction force, if
fs is the static frictional force and the us is the static friction coefficient and Fn is the normal force
[tex]f_{s}[/tex] = us*Fn
Fn = mg
putting the appropriate values, we get
= 71/(29*9.8) = 71/284.2
= 0.2498 = 0.25
Now, similarly when body is in motion, kinetic frictional force is applied, so we can write
[tex]f_{k}[/tex] = uk*Fn
so putting the appropriate values, we get
= 50/mg = 50/284.2 = 0.1759
= 0.176
Hence the value of coefficient of static friction is 0.25 and the value of coefficient of kinetic friction is 0.176.
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why do neutrinos generated in the core of the sun travel to the surface so quickly, compared to gamma ray photons?
Neutrinos generated in the core of the sun travel to the surface so quickly, compared to gamma ray photons because they don't interact with electromagnetic forces.
Neutrinos are neutral, massless particles. Because of their lack of mass, neutrinos can travel through space faster than photons. They have no electric charge, so they don't interact with electromagnetic forces. They also have no strong interactions and only weak ones, which means they can pass through matter without interacting with it at all.
Gamma rays are another type of radiation that originates from nuclear reactions in stars like our sun. however, photons are affected by gravity and other forces just like any other particle would be when moving at these speeds. They're also absorbed by matter much more readily than neutrinos are because they do interact electromagnetically with other particles around them.
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a force of 1 newton will cause a mass of 1 kg to have an acceleration of 1 m/s2. if a force of 6 newtons is applied to a mass of 1 kg, what will be its acceleration?
Answer:
6 m/sec square
Explanation:
a skater spins with an angular speed of 12.0rad/s with his arms outstretched. he lowers his arms, decreasing his moment of inertia from 41kgm2 to 36kgm2. a. calculate his initial and final rotational kinetic energy. b. does his rotational kinetic energy increase or decrease? c. what causes this change in kinetic energy?
It has a 2952 J initial rotational energy.
492 kg-m2/s represents its moment of momentum.
13.67 rad/s of angular momentum is conserved.3364J
A) is the final rotational kinetic energy. The rotational energy of it at first is
KE=[tex]\frac{1}{2}\\[/tex]Iω²
=[tex]\frac{1}{2}\\[/tex]
=[tex]2952J[/tex]
B) Her angular momentum is
L=Iω
=(41)(12)
= 492 kg-m²/s
C) Angle momentum is kept constant. Therefore, even if he draws his hands in, nothing will change. She still has 492 kg-m2/s of angular momentum after pulling her arms back. Her moment of inertia has altered, though. L must therefore change in order for its angular velocity to remain constant.
L=Iω
ω=L/I
=492/36
= 13.67 rad/s
D) So her final rotational kinetic energy is
KE=[tex]\frac{1}{2}\\[/tex]Iω²
=[tex]\frac{1}{2}\\[/tex][tex](36) (13.67)[/tex]
=[tex]3364J[/tex]
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part beach child holds the end of a rope and child b pulls on the rope so that he moves toward child a. how far will child b have moved when he collides with child a?
3.813m far will child b have moved when he collide with child a.
We know that,
[tex]x_{cm}[/tex]=[tex]\frac{m_{a} x_{a} +m_{b} x_{b} }{m_{a}+x_{b} }[/tex]
[tex]x_{cm}[/tex]=26(0)+49(11)/26+49=7.187
A=From a is 7.187m
B=we forces know that, the internal can't change the motion of CM. SO they will meet Collide at their C.M.
B has to move the distance from B→C.M. So they will meet Collide at their C.M B will forces.
11-7.187 = 3.863
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6. what is the origin of the acceleration cue when in hover mode at 4 ktgs? in hover mode at 7 ktgs? in transition mode at 50 ktgs?
When the velocity vector is less than its maximum scale, the tip of the vector serves as the origin of the acceleration cue (6 KTGS). When the velocity vector is at or above maximum scale, the center of the LOS reticle serves as the origin of the acceleration cue.
Where does maximal velocity occur?Knowing that the system is in equilibrium at y=0, or when displacement and acceleration are both equal to zero, is known as the velocity maxima. As a result, the maximum velocity in simple harmonic motion at a given place can be calculated using the formula v=A. A velocity vector shows the rate of change in an object's position. The magnitude of a velocity vector represents an object's speed, whereas the vector's direction represents an object's direction. The apex—the highest point on any trajectory—is reached when vy=0. Given that we are aware of the initial location, initial and final velocities, and initial position, we may determine y using the equation v2y=v20y2g(yy0).
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two runners are jogging around a circular track with the same angular velocity. one runner is jogging with a speed v1 at a radius of 15 m and the second is jogging at a speed v2 at a radius of 18 m. what is the ratio of their linear speeds, v2/v1?
5:6 is the ratio of linear speed of two runners in jogging. The rate at which an object's position changes in relation to a frame of reference is known as its velocity, and it depends on time.
What is velocity?The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.
The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.
The speed of the person one at the radium is v1=15
The speed of the person two at the radium is v2=18
The ratio be 15:18 , The 15 and 18 are the common multiple of 3
Therefore 5:6
The rate at which an object's position changes in relation to a frame of reference is known as its velocity, and it depends on time. A specification of a thing's speed and direction of motion is what velocity is.
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a 500 g mass is tied to a string and swung in a horizontal circle with a radius of 40 cm. the speed of the mass is held constant, and the period of rotation is 0.7 s.the direction of the velocity of the object is:
The direction of the velocity of the object is 3.6 m/s.
Velocity is the directional pace of an item in motion as an indication of its rate of exchange in the role as determined from a selected frame of reference and as measured by way of a selected standard of time.
Average velocity is defined as the trade in position or displacement (∆x) divided by the time durations (∆t) wherein the displacement takes place. The common velocity can be effective or negative depending upon the sign of the displacement. The SI unit of average velocity is meters per second (m/s or ms-1).
Given;
m = 500g = 0.5 kg
r = 40 cm = 0.4 m
T = 0.7 sec
The perimeter of circular rotation = 2πr
= 2 ×π (0.4)
= 2.51 m
Speed = distance traveled / total time taken
= 2πr/T
= 2.51/0.7
= 3.59 m/s
speed = 3.6 m/s
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what measure do seismologists use to calculate the distance from a seismic receiving station to the epicenter of an earthquake? group of answer choices the time interval between the first p wave and the last surface wave the magnitude of the ground acceleration of surface wave passing a receiving station the time elapsed between the first p wave arrivals from the first and last aftershocks the time interval between the arrivals of the first p and s waves the amplitude of the strongest s wave
Option A - the time interval between the first P-wave and first S-wave arrivals is correct.
Determine the difference between the first P-wave and the first S-arrival wave's periods, and then use that information to calculate the distance of the epicenter from the seismic recording station.
The study of elastic wave motion through the ground is known as seismology. Seismology of earthquakes is the finest method for investigating the earth's core. A portion of the energy released after an explosion or earthquake is transported through the earth as elastic waves. Stresses increase in the crust as the lithospheric plates of the Earth continue their sluggish motion, particularly close to the plate borders. Compression, tension, and shear stresses increase in the crust until they exceed the resistance of the rock or the friction along an existing fault. Then, an abrupt rock slide along a fault happens. The rocks lurch to their new location in a matter of seconds, and the ground trembles as the stress energy is released. Similar to growing ripples from a pebble thrown in still water, seismic waves propagate outward from the area of the fault that ruptured.
To clarify the options an image is attached.
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A man-hour is defined as "a unit of one hour's work by one person". describe how the unit of man-hour is similar to the kilowatt hour, the unit of electrical energy. then explain how the two units are different.
We can assume that man-hour is a unit of power. Both man-hour and kilowatt-hour are units for power. The difference between them is that the second one can be quantified while the first one cannot.
What is power?Power has a wide range of meanings in everyday life, but in physics, it has a very specific meaning. Power is defined to be work over elapsed time. This can be mathematically expressed as P = W/t where P is power, W is work, and t is elapsed time.
If work is done faster, the power is higher. Power is smaller when work is done slower.
The standard unit used to measure power is watt (symbolized W, not to be confused with work which is a quantity, not a unit). 1 kilowatt-hour is equal to 1,000 watts. Another widely-used unit of power is the horsepower (symbolized hp).
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should the speed at which a magnet is moved through a coil of wire affect the measured peak voltage across the coil? if so, how?
Yes it will affect the number of magnetic field lines travelling through the coil changes when the magnet is moved inside a coil of wire.
How is the first law of Faraday formulated?
The first and second laws of electrolysis by Faraday, which are as follows, govern the electrolysis process: The charge (mQ m Q) has a direct relationship with the mass of material liberated (or deposited).
According to Faraday, the variation in the number of field lines traversing the wire coil is what creates the induced electromagnetic field (EMF) in the loop. The rate of change in the number of magnetic field lines that pass through the loop, in particular, is what determines the induced emf. The term "magnetic flux" is similar to the term "electric flux," and it refers to the number of field lines that are passing through a surface.
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a digital thermometer can make readings to the tenth of a degree at either the celsius setting or the fahrenheit setting. which reading would be more precise?
The Fahrenheit setting, since 1 degree Fahrenheit is smaller than 1 degree Celsius.
For general use, a straightforward formula exists to convert temperatures from Fahrenheit to Celsius. Just subtract 30 from the Fahrenheit value, and then divide that result in half.
Most objects we measure including length, width, time, and other dimensions—have one thing in common: their values all begin at zero. Zero of any of those units may be converted into another sort of unit quite easily because we all know exactly how long zero centimeters or inches are. Inches, metres, and centimetres all equal zero. As an illustration, let's use inches and centimetres. To move from 0 inches to 1 inch, we need to add 1 inch. This much is clear.
Similarly, we just need to add 1 centimetre to go from 0 centimetres to 1 centimetre. The quantity of space we are adding is the only distinction between adding one inch or one centimetre. One inch is 2.54 centimeters, according to the connection between the two units.
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a player hits a baseball with mass of 0.145 kg over the outfield fence. the ball leaves the bat with a speed of 42.0 m/s and a fan in the bleachers catches it 14 m above the point where it was hit. neglect air resistance. what is the speed of the ball when it is caught?
When the ball is caught, it is moving at a speed of 3 m/s. Distance/time is the formula for calculating speed.
How do you tell the ball's speed?You must time how long it takes from when the ball is released until the pin is struck using a stopwatch. By dividing the distance by the time, one may calculate the ball's speed.
The average speed, if it was 3 seconds,
would be 42/14, or 3 feet per second .
Build a launcher for balls. I made use of an exercise rubber band and the legs of a patio chair.
horizontally when you shoot the ball. For this to operate, the camera angle must be horizontal.
Calculate how long the ball has been in the air.
The ball's distance traveled should be measured.
Simply dividing the distance by the launch time yields the launch speed.
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a skier traveling 11.0 m/s reaches the foot of a steady upward incline and glides 15 m up along this slope before coming to rest. what was the average coefficient of friction?
The average coefficient of friction of the track on which the skier is travelling is 0.59.
According to work energy theorem, the work done by conservative forces and the non conservative forces on the body is equal to the change in kinetic energy of the body.
So here, we know that the skier is travelling with a speed of 11m/s and he glide a distance of 15 m.
Here, we can write,
Mgd + uMgd = ∆K
Where M is the mass of the body,
g ji is the acceleration due to gravity,
d is the distance travel by the glider,
K is the change in kinetic energy,
U is the coefficient of friction.
Putting values,
Mgd + uMgd = 1/2Mv²
2(gd + ugd) = v²
u = (v²/2-gh)/gd
u = ((11)²/2 -10×15)/10×15
u = 0.59
So, the average coefficient of friction is 0.59.
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a conductor having no covering or electrical insulation whatsoever is defined in the nec as a(n) ? conductor
A conductor having no covering or electrical insulation There is absolutely no electrical insulation or coating on a conductor is bare.
Any object used as insulation in a building for thermal management is known as building insulation. The term refers to acoustic, fire, and impact insulation in addition to the majority of insulation used in buildings, which is for thermal purposes. Because it can accomplish several of these tasks at once, insulating materials are frequently used.
Building insulation is a crucial investment in both the economy and the environment. Insulation reduces the energy needed to heat and cool a building, as well as the thermal turbulence that its occupants experience. Adding more insulation to existing structures is a key strategy for reducing greenhouse gas emissions, particularly in regions where energy production is carbon-intensive.
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a 1000 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. the safe hits the spring and, in coming momentarily to rest, compresses it 50 cm. what is the spring constant of the spring?
The value of the spring constant of the spring is 156800N/m.
As per the work energy theorem, the work done in making the safe go down will be equal to the work done by the spring.
So it can be written
1/2kx² = mgh
K is the spring constant,
x is the compression,
m is the mass of the safe,
g is the acceleration due to gravity which is 9.8m/s²,
H is the height above the ground at which the safe is kept which is 2m.
Now, putting all the values,
1/2(k)(0.5)² = 1000(2)(9.8)
K = 156800 N/m.
So, the value of the spring constant is 156800 N/m.
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On a cold, winter day, sheena rubs her hands together. Some of the energy is also transformed into which form of energy?.
In all the cases shown below the velocity vector, v1 and v2 have the same length
The resultant velocity will have largest absolute value when the two velocities are parallel and moving opposite direction.
option B is the correct answer
What is the resultant velocity two vectors?The resultant velocity of two vectors is the single vector that can represent the two vectors effectively in terms of magnitude and direction.
Mathematically, the formula for determining the resultant of two vectors is given as;
R² = v₁² + v₂² - 2v₁v₂cos(θ)
where;
v₁ and v₂ are the two vectorsR is the resultant of the two vectorsθ is the direction of the two vectorsFrom the above formula, the resultant velocity will have largest absolute value when;
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A car is moving with a velocity of 32.78 m/s when a TURTLE wanders into the road. The driver then hits the brakes and comes to a complete stop over a time period of 4.63 seconds. Calculate the acceleration of the car. Round to the hundredths.
The acceleration of the car is - 7.08 m/s².
What is velocity?
The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given parameters:
Initial velocity of the car; u = 32.78 m/s.
Take taken to stop it; t = 4.63
Then, the acceleration of the car: a =( final velocity - initial velocity) /time
= (0 - 32.78)/4.63 m/s².
= - 7.08 m/s².
Negative sign indicates that the velocity is decreasing at that rate.
So, the acceleration of the car is - 7.08 m/s².
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a charged particle, passing through a certain region of space, has a velocity whose magnitude and direction remain constant. if it is known that the external electric field is zero everywhere, then can you conclude that the external magnetic field is also zero? ignore gravity.
YES, if it is known that now the external electric field equals zero everywhere, then you can infer that external magnetic field also is zero.
In plain terms, how is a magnetic field?The region surrounding a magnet that experiences the effects of magnetism is known as the magnetic field. When describing the distribution of the magnetic force within and around a magnetic object in nature, the magnetic field is a useful tool.
What are the workings of the magnetic field?The vicinity of a magnet that exhibits magnetic force is known as the magnetic field. South and north poles are found on every magnet. The opposite poles are drawn to one another, whereas the same poles are drawn away from one another. The atoms in iron have north-seeking poles that line up in the exact direction when it is rubbed against a magnet.
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Can someone please solve and explain this for me
a) The interval with the greatest rate of change is between the points (4.9, 40) and (5.6, 50).
b) This rate in the above interval was of 14.3 m/s.
How to obtain the average rate of change of a function?The average rate of change of a function is obtained by the change in the output divided by the change in the input. Hence, over an interval [a,b], the average rate of change is obtained as follows:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
For each interval, the rates are given as follows:
0 sec to 1.9 sec: 10/1.9 = 5.26 m/s.1.9 sec to 3.1 sec: 10/1.2 = 8.33 m/s.3.1 sec to 4.1 sec: 10/1 = 10 m/s.4.1 sec to 4.9 sec: 10/0.8 = 12.5 m/s.4.9 sec to 5.6 sec: 10/0.7 = 14.3 m/s. -> Greatest rate.5.6 sec to 6.5 sec: 10/0.9 = 11.1 m/s.6.5 sec to 7.4 sec: 10/0.9 = 11.1 m/s.7.4 sec to 8.2 sec: 10/0.8 = 12.5 m/s.8.2 sec to 9.0 sec: 10/0.8 = 12.5 m/s.9.0 sec to 9.84 sec: 10/0.84 = 11.90.More can be learned about the rate of change at https://brainly.com/question/24313700
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A car (mass 1 000 kg) uses 50 000 J of energy (from fuel) to accelerate the car from rest to 5.5 m/s (about 20 km/h). How efficient is the car’s engine? ( Think, Eff = Eout/Ein x 100/1)
The energy output from the car is 15125 J and the input energy is given 50000 J. Thus, the efficiency of the car is 30.25 %.
What is engine efficiency?The efficiency of an engine is the ratio of its energy output to the energy input multiplied by 100. The efficiency of a heat engine can be found similarly using the input heat and output heat.
Given the mass of the car is 1000 Kg and it is accelerated to 5.5 m/s. Therefore the kinetic energy output is is calculated as follows:
KE = 1/2 mv²
= 1/2 1000 kg × (5.5 m/s)²
= 15125 J
The input energy is 50000 J. Therefore, the energy efficiency is :
efficiency = output energy / input energy × 100
= ( 15125 J/ 50000J ) × 100
= 30.25 %
Hence, the energy efficiency of the car is 30.25 %.
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the current in an inductor is changing at 120 a/s and the inductor emf is 51 v. what's the self-inductance?
the self-inductance is 0.425V.s/A
emf = L*di/dt
L = emf/ di/dt = 51/120 = 0.425V.s/A
Self-inductance is a characteristic of the current-carrying coil that opposes or resists changes in the current that passes through it. The self-induced emf generated in the coil itself is mostly responsible for this. Self-inductance is a phenomenon that occurs when a voltage is induced in a current-carrying wire, to put it simply.
When the current increases or drops, the coil's self-induced emf will oppose both movements. Essentially, if the current is increasing, the induced emf's direction is opposite that of the applied voltage, and if the current is decreasing, its direction is similar to that of the applied voltage.
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the moon orbits earth at an average distance of 3.84 x 108 m in a path that takes 27.3 days to complete. what is the centripetal acceleration of the moon? (remember, you must convert time into seconds.)
If the moon orbits the Earth at a distance of 3.84 x 10⁸ on a path that takes 27.3 days to complete, its centripetal acceleration will be 2.7x 10⁻³ m/s².
How can we determine the centripetal speed of the moon?A body moving in a circular path at a high rate of speed is said to be experiencing centripetal acceleration. We can calculate the moon's centripetal acceleration using the centripetal acceleration formula.
We are informed that the moon is approximately 3.84 x 10⁸ miles away from Earth and that a full rotation of the moon takes 27.3 days.
The distance traveled by the moon in 27.3 days is its velocity.
v = x/t
v = 2 πr/t
v = 2.41x10⁹/2.35x10⁶
v = 1025.5
The radius is 3.84 x 108 m and the velocity is 1,025.5 m/s. Here, we will determine the centripetal acceleration of the moon.
[tex]a_{c}[/tex] = v²/r
[tex]a_{c}[/tex] = (1025.5)²/3.84 x 10⁸
[tex]a_{c}[/tex] = 2.7 x 10⁻³
We now know the centripetal acceleration of the moon to be 2.7 103 m/s².
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an ac adaptor for a telephone answering unit uses a transformer to reduce the line voltage of 80 v (rms) to a voltage 9.8 v. the rms current delivered to an answering system is 392 ma. if the primary (input) coil in the transformer in the adaptor has 170 turns, how many turns are there on the secondary (output) coil? answer in units of turns.
The secondary coil of the transformer is 21 turns.
We need to know about transformers to solve this problem. The transformer is a device that changes the output voltage by using different turns on its coil. The ratio of output voltage and input voltage should follow this equation
Vo / Vi = Ns / Np
where Vo is output voltage, Vi is input voltage, Ns is secondary turns and Np is primary turns.
From the question above, the given parameters are
Vi = 80 V
Vo = 9.8 V
Np = 170 turns
By using the equation, we can calculate the secondary turns
Vo / Vi = Ns / Np
80 / 9.8 = 170 / Ns
Ns = 170 . 9.8 / 80
Ns = 20.825
Thus we can round the secondary turns to 21.
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The magnitude of the buoyant force is equal to the weight of fluid displaced by the object. Under what circumstances is this statement true?.
The magnitude of the buoyant force is equal to the weight of the fluid displaced by the object if and only if the object is partially or completely submerged in a liquid.
What exactly is Buoyant Force?When a rigid object is immersed in a fluid (completely or partially), it experiences an upward force equal to the weight of the fluid displaced by the object.
This is referred to as Archimedes' principle.
[tex]F_{b}[/tex]= -ρgV
[tex]F_{b}[/tex] = force of buoyancy
ρ = density of fluid
g = gravitational acceleration
V = volume of fluid
If an object is partially or completely submerged in fluid, the fluid displacement is equal to the magnitude of the buoyant force.
Thus, The magnitude of the buoyant force is equal to the weight of the fluid displaced by the object if - For every object partially or completely submerged in a liquid.
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The moving of soil by water
Erosion is the moving of soil by water, which represent a geological process able to shape the features of different rock layers.
What is the geological erosion?The geological erosion is the process by which natural forces such as winds and also water may shape a given layer of rock, which occurs at a geological scale because it is a slow phenomenon.
Therefore, with this data, we can see that the erosion process is a slow phenomenon that shape the geographic features of layers of rocks on the Earth surface.
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you throw a rock straight down with an initial speed of 5 m/s. It took 4.5 seconds to hit the ground below. How high was the cliff?
The height of the cliff is 121.75 m.
What are the equation of motion?An equation of motion, describes the behavior of a physical system in terms of motion as a function of time. More specifically, the equations of motion describe the behavior of a physical system as a set of mathematical functions related to dynamic variables. The equations of motion are:
v = u + atut + 1/2 at²v² = u² + 2asFor the given case we will use the following equation:
s = ut + 1 / 2 gt²
s = Height of the cliff
u = Initial velocity of rock (5 m/s)
a = Gravitational acceleration (9.8 m/s²)
t = Time (4.5 sec.)
s = (5 × 4.5) + ( 1 / 2 × 9.8 × 4.5² )
s = 22.5 + 99.25
s = 121.75 m
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two cars collide inelastically and stick together after the collision. before the collision, the magnitudes of their momenta are p1 and p2 . after the collision, what is the magnitude of their combined momentum?
the magnitude of their combined momentum is p=p1+p2
In Newtonian mechanics, an object's mass and velocity are combined to create momentum, more precisely linear momentum or translational momentum. It is a vector quantity with a magnitude and a direction. When an object's mass (m) and velocity (v), which is also a vector quantity, are known, the result is the object's momentum.
The kilogram meter per second (kg m/s), which is equated to the newton-second in the International System of Units (SI), is the unit used to measure momentum.
According to Newton second law of motion, a body's rate of momentum change is equal to the net force acting on it. While momentum varies depending on the frame of reference, it is a conserved quantity in every inertial frame.
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how do permanent dipoles compare to dispersion forces and temporary dipoles in terms of formation and strength?
Permanent dipoles are created by the interaction of permanent charges, which are charges that do not lose their charge when they are separated, as opposed to temporary dipoles, which form when two unlike poles come into contact and then separate.
Permanent dipoles are strong; they can be formed even when there is no electrical current present. The strength of a permanent dipole depends on its size and intensity, but it's typically much stronger than a temporary dipole.
Dispersion forces are weaker than both permanent dipoles and temporary dipoles. They can be generated by any two objects whose surfaces have different charges, regardless of whether there is an electrical current present or not.
The strength of dispersion forces depends on the size and intensity of the charged object, but it's typically much weaker than a permanent or temporary dipole.
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A 0. 25-kg toy car experiences a net force of 9. 0 n while slowing down to a complete stop. What is the magnitude of its acceleration?.
The magnitude of the acceleration is -36 m/s² since the toy car is stopping thus, -36 is the deceleration of the toy.
The Force of the object is the product of the mass of the object with the acceleration with which it is moving. It is the vector product. The SI unit of force is Kg-m/s² or Newton(N). The equation for the force is,
F = ma
where F = Force
m = mass
a = acceleration
The values given for force f = 9.0N, m = 0.25kg
∴ F = ma
9.0 = 0.25 × a
a = 36 m/s²
Hence, the negative sign indicates the deceleration of the toy car thus the magnitude is -36m/s².
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