A motorboat accelerates uniformly from a velocity of 6.5 m/s to the west to a velocity of 1.5 m/s to the west. If its acceleration was 2.7 m/s2 to the east, what was the boat's displacement

Answers

Answer 1

Answer:

The displacement of the boat is 7.41 m

Explanation:

Given;

initial velocity of the motorboat, u = 6.5 m/s west

final velocity of the motorboat, v = 1.5 m/s west

acceleration of the motorboat, a = -2.7 m/s² east

The displacement of the boat is given by;

v² = u² + 2ad

where;

d is the displacement of the motorboat

1.5² = 6.5² + 2(-2.7)d

1.5² -  6.5² = -5.4d

-40 = -5.4d

d = (40) / 5.4

d = 7.41 m

Therefore, the displacement of the boat is 7.41 m


Related Questions


1. Simplify the following expression
8-6/4-12+3^2

Answers

Answer:

-5/2

Explanation:

8-6/4-12+3^2

8-6/4-12+9

2/4-12+9

LCM =4

(2-48+36)/4

(-46+36)/4

-10/4

-5/2

what happens when you dip open bottle in bucket full of water?why​?
chapter=pressure​

Answers

Answer: It goes inside filling most of it .

Explanation: This happens because the bottle is empty and the bucket is full of water.

Which statement describes the Oort cloud?
O It is shaped like a donut.
O It contains huge icy objects.
O It is home to short-period comets.
O It is about 1,000 AU from the Sun.

Answers

The statement which best describes the Oort cloud is that it contains huge icy objects and is therefore denoted as option B.

What is a Cloud?

This is referred to as the mass of water drops or ice crystals suspended in the atmosphere and are of different types such as oort, cumulus etc. It is also involved in rain formation in the ecosystem.

Oort cloud on the other hand is defined as a hypothetical, spherical distribution of icy bodies located in the far reaches of the Solar system which is therefore the reason why option B was chosen as the correct choice.

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Answer:

it’s B

Explanation: I got it right

what does it mean to have a good experimental design?​

Answers

Answer: Experimental design means creating a set of procedures to test a hypothesis. A good experimental design requires a strong understanding of the system you are studying. By first considering the variables and how they are related (Step 1), you can make predictions that are specific and testable (Step 2).

Explanation:

Match each term to the appropriate definition.
percent error
a mathematical way of showing
accuracy
when two variables both increase or
decrease together
dependent variable
inverse relationship
when one variable increases and the
other variable decreases
direct relationship
what is changed by the researcher
during an experiment
independent variable
what is measured and affected during
an experiment

Answers

Answer: In statistics, a perfect positive correlation is represented by the ... variables in question move together by the exact same percentage ... Positive correlation is a relationship between two variables in which both variables move in ... other variable decreases, or one variable increases while the other increases.

Explanation:

make me a brainlist and like and rate

Percent error is a mathematical way of showing accuracy, dependent variable is what is measured and affected during the experiment, independent variable is what is changed by the researcher.

What is Percent error?

Percent error is the difference between the estimated value and the actual value in comparison to the actual value of the experiment and is expressed as a percentage value. In other words, the percent error is the relative error multiplied by the number 100.

Direct relationship is a relationship between any two variables whereby both the variables increase or decrease together. Directly affect each other.

Inverse relationship is a relationship between any two variables whereby one variable increases and the other variable decreases. The variables affect each other but inversely.

An independent variable is the variable which is changed by the researcher through the experiment.

A dependent variable is the variable which is measured and affected during the experiment and it often described as being dependent on the independent variable of the experiment.

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Which of the following is not accelerating? Q) A. a car coming to a stop a t a traffic light B. a sprinter starting from rest and running 100 min 9.8 s C. a racecar traveling 175 km/ hr on a straight track D Which of the following is not accelerating? Q) A. a car coming to a stop a t a traffic light B. a sprinter starting from rest and running 100 min 9.8 s C. a racecar traveling 175 km/ hr on a straight track D an airplane traveling at 500 km/hr and turning to the north

Answers

Answer

A. a car coming to a stop at a traffic light

Equivalent resistance between A and B.
A) 2.4 ohms
B)18 ohms
C) 6 ohms
D) 36 ohms ​

Answers

Answer :

First of all see the attachment for better understanding[tex].[/tex] :D

Eq. resistance between C and D :

➝ 1/Rp = 1/6 + 1/6

➝ 1/Rp = 2/6

Rp = 3Ω

Eq. resistance of upper part :

(All three are in series)

➝ Rs = 3 + 3 + 3

Rs = 9Ω

Eq. resistance of lower part :

(Both are in series)

➝ Rs' = 3 + 3

Rs' = 6Ω

Eq. resistance between A and B :

(Rs and Rs' are in parallel)

➝ 1/Req = 1/Rs + 1/Rs'

➝ 1/Req = 1/9 + 1/6

➝ 1/Req = (2 + 3)/18

➝ Req = 18/5

Req = 3.6Ω

Answer:

Explanation:

Eq. resistance between C and D :

➝ Rp = 3Ω

Eq. resistance of upper part :

➝ Rs = 9Ω

Eq. resistance of lower part :

➝ Rs' = 6Ω

Eq. resistance between A and B :

➝ Req = 18/5

➝ Req = 3.6Ω

A car speeds up from rest to some final velocity in some amount of time. If the time is doubled to reach the same final velocity, what
happens to the acceleration? Is this a proportional or inversely proportional relationship?

Answers

If the time is doubled to reach the same final velocity, then the acceleration will be half the acceleration before.

What is the rate of change?

The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations.

Let's assume the final and the initial velocity of the object is v and u, respectively. Also, the time it takes is represented by t. Therefore, the acceleration can be written as,

a₁ = (v-u)/t

Now, if the time is doubled then the acceleration can be written as,

a₂ = (v-u)/2t

    = (1/2) × [(v-u)/t]

    = 0.5 × a₁

a₂ = 0.5a₁

Hence, If the time is doubled to reach the same final velocity, then the acceleration will be half the acceleration before.

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1. A runner drops her phone as she is running at a constant speed of 3 miles per hour from point A to point B in a park. Describe the motion of the phone as it is observed by someone sitting on a bench at the park.​

Answers

Answer:

Let's define the point A as our zero in the x-axis.

As the phone drops, it keeps the horizontal velocity that it had before, so the horizontal velocity is:

Vx = 3 mi/h.

Now, the only force acting on the phone is the gravitational force that acts in the vertical axis, then we have:

Ay = -g

where g = 9.8 m/s^2

It is dropped, so we do not have a vertical initial velocity, then for the vertical velocity we should integrate over time:

Vy = -g*t

And for the position again, we integrate over time, but now we have an initial position H, that is the height at which the phone is dropped.

Py = -(1/2)*g*t^2 + H

And the horizontal position can be found by integrating over time the horizontal velocity.

Px = (3mi/h)*t

This will be the two equations that describe the motion of the phone, and we can not solve it further because we do not know the initial height of the phone.

But in general, we have a linear equation in the horizontal axis and a quadratic equation with a negative leading coefficient in the vertical axis.

Position(t) = ( (3mi/h)*t,  -(1/2)*g*t^2 + H)

Answer:

yes he is running at 3 mph

Explanation:

because im the teacher

90. An uranium nucleus (at rest) undergoes fission and splits into two fragments, one heavy and the other light. Which fragment is moving faster after the fission?

Answers

Answer:

Explanation:

No external force is acting on uranium nucleus so we can apply law of conservation of momentum . If M and m be the mass of bigger and smaller fragments respectively and V and  v be their velocity after fission , Total momentum after fission  = total momentum before fission

MV - mv = 0 , since the nucleus was at rest , its momentum before fission is zero . negative sign of mv is taken because smaller fragment  will move in opposite direction to that of bigger fragment .

MV = mv

M / m = v / V

M > m

Hence,

v > V

So velocity of smaller fragment will be higher .

A person jogs at an average velocity of 3 m/s West. How long will it take this person to run a 30-meter city block?​

Answers

Answer:

It will take the person 10 seconds to run a 30-meter city block.

Explanation:

To solve this problem, we must remember the formula for velocity:

velocity = displacement/time

If we plug in the values that we are given, we get:

3 m/s = 30 m/time

We can see from the above equation that our answer should be in seconds, so we can get rid of the units to simplify the equation slightly.

3 = 30/t

Next, we can multiply both sides by t:

3t = 30

Then, we should divide both sides of the equation by 3 to get the variable t alone on the left side of the equation.

t = 10

Therefore, the correct answer is 10 s.

¡Can someone help me pls!

How many cubic meters of blood does the heart
pump in a 20 years lifetime?Assume the average
flow rate is 5 L/min.

Answers

(5 L/m)x(1,440 m/da)x(365 da/yr)x(20yr)

That's 52,560,000 Liters, or 52,560 m^3.

When a force is acting at axis of rotation,why torque is zero?

Answers

Explanation:

see, torque=force × perpendicular distance

...that perpendicular distance is between axis of rotation and the point where force acts... so in above's case perpendicular distance is zero... so the torque is zero!

What is your speed if you travel 7564 km in 23 hours? Convert this to miles per hour.

Answers

Answer:

[See Below]

Explanation:

Your average speed would be 204.35 mph.

i got appx. 204.3478 miles per hour because you convert 7564km/23hours to 4700miles/23hours, then divide 4700 and 23 by 23 to end up with 204.3478miles/1hour

Your microwave will not turn on, and you speculate that a circuit breaker in the house has been tripped. In scientific terminology, the steps would be described as:

Answers

Answer:

Your microwave will not turn on, and you speculate that a circuit breaker in the house has been tripped. In scientific terminology, the steps would be described as: developing a hypothesis based on an observation.

please help
will give the brainliest!
please answer correctly.
Urgent!!!!!!!!!!!!

Answers

a) Live wire

b) It has gained extra electrons.

c) Part of circuit can be turned off while other parts remain on.

d) [tex] R=\frac{V}{I}=60 \Omega[/tex]

5 words to describe mass science

Answers

Answer:

Scientific Definition of Mass. Mass is the quantity of inertia (resistance to acceleration) possessed by an object or the proportion between force and acceleration referred to in Newton's Second Law of Motion (force equals mass times acceleration). In other words, the more mass an object has, the more force it takes to get it moving.

Explanation:

1. Hydroelectric ____________ come from the energy of fallen water.
2. Using fossil fuels is the main reason of global ___________
3. Turning off the lights, TV and computer when we aren't using them is a way to _________, or save energy.
4. Energy efficient light bulbs use ___________ energy than normal light bulbs.
5. ________ is made from trees.
6. _______ energy comes from things besides fossil fuels.
7. You can ________ or bike to school instead of driving.
8. Most of the energy we use around the world comes from _______ ________.

Please answer these quickly. I'm tired.

Answers

Answer:

1.Power

2.warming

3.preserve

4.less

5.Paper

6.Fossil

7.ride cycle

8.Non renewable energy sources

Please check it once and reply

The radius of curvature of a spherical mirror is 20cm.What is its focal length?

Answers

Answer:

[tex] \boxed{\sf Focal \ length = 10 \ cm} [/tex]

Given:

Radius of curvature (R) of a spherical mirror = 20

To Find:

Focal length (f)

Explanation:

Formula:

[tex] \boxed{ \bold{\sf Focal \ length \ (f) = \frac{Radius \ of \ curvature \ (R)}{2}}}[/tex]

Substituting value of R in the equation:

[tex] \sf \implies f = \frac{20}{2} [/tex]

[tex] \sf \implies f = \frac{ \cancel{2} \times 10}{ \cancel{2}} [/tex]

[tex] \sf \implies f = 10 \: cm[/tex]

Focal length = 10 cm.

Solution :

Given radius of curvature = 20 cm.

Formula :

Focal length = Radius of curvature/2

→ Focal length = 20/2

→ Focal length = 10 cm.

Answer : 10 cm.

A marble accelerates from rest at a constant rate and travels for a total displacement of 44 m in 20.0 s. What is the average velocity of the marble?

Answers

Answer:

2.2 m/s

Explanation:

use the formula to find meters per second

456.7 in scientific notation

Answers

The number 456.7 in scientific notation is:

456.7

456.7 x 10^0

4.567e2

4.567 x 10^2

What is the elevator's average acceleration from t = 2 to t= 8? Leave your answer in 3 significant figures.

Answers

Answer:

Average Acceleration = 0 m/s²

Explanation:

The average acceleration between t = 2 sec to t = 8 sec is given as follows:

Average Acceleration = (Final Velocity - Initial Velocity)/Total Time

From Graph,

Total Time = 8 sec - 2 sec = 6 sec

At t = 2 sec

Initial Velocity = 3 m/2 s = 1.5 m/s

At t = 8 sec

Final velocity = 12 m/8 s = 1.5 m/s

Therefore,

Average Acceleration = (1.5 m/s - 1.5 m/s)/ 6 s

Average Acceleration = 0 m/s²

Find the density of a substance that has a mass of 75g and a volume of 35 mL

Answers

Answer:

The density of the substance precisely is 2142.8571428571, but you could always round the answer to something else.

Explanation:

The formula for finding density is ρ (density) equals mass over volume.

75 grams over 35 mL = 2.1428571428571 gram/mL = 2142.8571428571 kilogram/cubic meter.

Hope this helped. :)

Which statement explains the relationship between the density of a material and its movement in Earth’s interior?

A.Cooler materials move from Earth’s mantle to the lithosphere.
B.Cooler materials are highly dense, causing them to sink to the outer core.
C.Warmer materials sink to the mantle because their density slowly decreases. D.Warmer materials have a high density, causing them to rise to Earth’s surface.

Answers

B) Cooler materials are highly dense, causing them to sink to the outer core.

Answer:

the answer is B i did the test

Define uniform circular motion and state an
expression for velocity of the body performing
whiform circular motion​

Answers

Definition: When an object moves in a circular path with uniform speed, the motion is called uniform circular motion.

ac=rv2=ω2r

simple question..

Is speed the same as velocity?​

Answers

Answer: no

Explanation: speed = rate of change of distance; distance/time

                     velocity = rate of change of displacement; displacement/time

No speed is not the same thing as velocity

A block of density 2400kg/m3 has a volume of 0.20m3. Calculate:

a) it’s mass

b) it’s weight

c) it’s apparent weight when completely immersed in a liquid of density 800kg/m3

Answers

Answer:

a) mass=density x volume= 2400 x 0,20=480 Kg

b) weight= 480 x 9,81 = 4708,8 N

write a brief note on gravitational force​

Answers

Answer:

[tex] \boxed{ \boxed{ \sf{see \: below}}}[/tex]

Explanation:

[tex] \underline{ \bold{ \underline{ \huge{ \boxed{ \sf{gravitational \: force}}}}}}[/tex]

------------------------------------------------------------------

According to Newton, the bodies in the universe attract each other. This force if attraction is called force of gravitation. For example, the earth attracts the moon and the moon attracts the earth too. Similarly, the earth attracts the Jupiter and the Jupiter attracts the Earth.

The effect of force of attraction of a big body on a small body can be observed but that of a small body on a big one cannot be observed. The sun is so large that even the sum of the masses of all its planets and the satellites is only about 0.0015th part of mass of the sun. Due to the gravitational force between the sun and the earth, the earth keeps on moving around the sun. Similarly, the gravitational force between the satellites and planets makes the satellites to revolve around the planets. So, The gravitational force is responsible for the existence of solar system. The effect of gravitation can be experienced more on liquid than solid. Hence, we see tides in the sea and ocean due to the force of gravitation of the moon and the sun on the earth when they lie on the same straight line.

--------------------------------------------------------------------

Hope I helped!

Best regards!!

What did Blaise Pascal discover, and how did he impact Physics?

Answers

Answer:

Well it really depends because he found out about a lot of things in a lot of scientific fields actually. He is known for contributing Pascal's triangle and probability theory. He also invented an early digital calculator and a roulette machine. In the field of physics, Blaise contributed to the study of atmospheric pressure by discovering that vacuums are real and exist in the real world.

Answer:

Well it really depends because he found out about a lot of things in a lot of scientific fields actually. He is known for contributing Pascal's triangle and probability theory. He also invented an early digital calculator and a roulette machine. In the field of physics, Blaise contributed to the study of atmospheric pressure by discovering that vacuums are real and exist in the real world.

Explanation:

A box with a mass of 15 kg is pushed with a net force of 180 N. What magnitude of acceleration will the box experience?

Answers

[tex] \huge{ \underline{ \underline{ \red{ \bf{Solution:}}}}}[/tex]

We know that, Newton's second law of motion states that Force is the product of mass and Accleration which is actually derived from the original statement, Rate of change of momentum is directly proportional to Force applied and acts in the same direction of force.

According to this,

[tex] \large{ \cdot{ \boxed{ \rm{f = m \times a}}}}[/tex]

Where,

F = Force appliedm = mass of the bodya = acceleration of the body

So, By using formula,

➝ F = m × a

➝ 180 N = 15 kg × a

➝ 15a = 180

➝ a = 180/15 = 12 m/s²

❍ Accleration of the body = 12 m/s²

Hence, solved !!

━━━━━━━━━━━━━━━━━━━━

[tex]\tt {\pink{Given}}\begin{cases} \sf{\green{Force=180 \: newtons}}\\ \sf{\blue{Mass=15 \: kg}}\\ \sf{\orange{Acceleration= \: ?}}\end{cases}[/tex]

____________________

Answer:

[tex]\qquad \: \tiny\dag\:\underline{\tt By \: applying \: Newtons \: second \: law \: of \: motion \: we \: get : } \\ \\ [/tex]

[tex]:\implies\sf F = ma \\ \\ [/tex]

[tex]\tt {\pink{Where}}\begin{cases} \sf{\green{F=Force}}\\ \sf{\blue{m=Mass}}\\ \sf{\orange{a=Acceleration}}\end{cases}[/tex]

This law states that, "the rate of change of momentum of a body is directly proportional to the external force applied on the body and the change takes place in the direction of applied force" :]

[tex]\qquad\tiny\dag\:\underline{\tt Now,substituting\: the \: given \: values \: in \: above \: Formula \: we \: get :} \\ \\ [/tex]

[tex]:\implies\sf 180 = 15 \times Acceleration \\ \\ \\ [/tex]

[tex]:\implies\sf Acceleration = \dfrac{180}{15} \\ \\ \\ [/tex]

[tex]:\implies \underline{ \boxed{\textsf{ \textbf{ Acceleration = 12 m/s$^2$ }}}} \\ \\ \\ [/tex]

[tex]\therefore\underline{\textsf{ Acceleration produced by the box is \textbf{12 m/s$^2$}}}. \\ [/tex]

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