A car is moving with an initial velocity of 45 m/s, then slows down due to a constant acceleration of -3.0 m/s squared. What is its velocity after 4 seconds of this deceleration?

Q: A stone is thrown vertically upward from the top of a building. If the equation of the motion of the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: A cyclist travels from point A to point B in 10 min. During the first 2.0 min of her trip, she…

A: Given: Acceleration for first t = 2 min is a = 0.051 m/s2 starting at x = 0 ; u = 0 her velocity at…

Q: The acceleration of a vehicle takes the form du/dt = 1.2 -0.06u where u is the vehicle speed in…

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Q: particle moves according to the equation v(t) = 2t^3 + 10t^2 - 5 , where v is in meters per second…

A: Equation of motion of particle: v(t) = 2t3  + 10t2 - 5  Time interval 1: t = 2.00 s Time interval 2:…

Q: A stone thrown from the top of a building is given an initial velocity of 20m/s straight upward. The…

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Q: a tennis ball is thrown straight up and caught at the same height on the way down. which of the…

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Q: cheetah can accelerate from rest to 23.5 m/s in 2.00 s. Assume that the acceleration is constant…

A: Given: The initial speed of the cheetah is 0 m/s. The final speed of the cheetah is 23.5 m/s. The…

Q: The average speed of a car is 27 m/s during the first 10 seconds of acceleration. What is the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: This is a two part problem. The position of an object is known to be x = 32 + 16t - 4t^2, where t is…

A: Given that:- Mathematical relation between position and time is given in the question.

Q: A cart has an initial velocity of 43 m/s and accelerates at the rate of 13 m/s in the opposite…

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Q: Calculate the height of a cliff if it takes 2.25 s for a rock to hit the ground when it is thrown…

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Q: A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km]…

A: The expression for find time taken by the runner to complete the race is t=dv

Q: A train is traveling down a straight track at 35 m/s when the engineer applies the brakes, resulting…

A: Initial speed of the train, u = 35 m/s Acceleration, a = -1.0 m/s2 Time interval after applying…

Q: A train starts from rest and accelerates uniformly, until it has traveled 2.5 km and acquired a…

A: During the first part of the journey, the initial velocity, u=0, final velocity, v=24m/s and the…

Q: A person walking covers 0.5m in 1.0s.  She accelerates and in the next 1.0s they cover 1.5m.  (a)…

A: (a) Use Newton's equations of motion to calculate the rate of acceleration. v=u+ata=v-ut=1.5 m1.0…

Q: A particle's velocity is along the x-axis is described by v(t)=At+Bt^2, where,  t is in seconds and…

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Q: A car slows down with an acceleration that has a magnitude of 3.3 m/s². While doing so, it travels…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A train with a constant velocity of +28.6 m/s approaches a small town .  The operator applies the…

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Q: a car starts from rest and travels 10 sec. with an acceleration of a-4-0.3t. then runs for 30…

A: Given : Acceleration for first 10s, a = 4.03 m/s2 Retardation after 30s, r = 3.125 m/s2

Q: While standing at the edge of the roof of a building, a man throws a stone upward with an initial…

A: As there is not mentioned which questions actually to answer so as per guidelines I'm answering the…

Q: A motorcycle starts from rest at t 0, and attains a final speed U at time t. If the motorcycle's…

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Q: A particle moves accordingly to a law of motion s = f(t) = t^2 e^−t, t ≥ 0, where t is measured in…

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Q: A train starts from rest at a station and has an acceleration of 4m/s^2 for 10 s. It then runs at a…

A: Consider the trip into 3 intervals. The train is moving in constant acceleration in all intervals.…

Q: A 30 m high roller coaster has an initial velocity of 5 m/s. How fast is it going when it reaches a…

A: Given data *The height of the roller coaster is h1 = 30 m *The initial velocity of the roller…

Q: A car, initially at rest, accelerates for 7.6 s and has a final speed of 15.2 m/s. What was its…

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Q: Average acceleration is determined by what? a. Change in time / change in velocity b. Change in…

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Q: car has an initial velocity of 25 m/s. It then accelerates to a final speed of 40 m/s after 10 s.…

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Q: An car runs the first 18 minutes at an average speed of 11 m/s. What must be the average speed…

A: Let the average speed of following 42 min be x m/s Let the distance traveled in that 42 min be d1 So…

Q: Question 3.1: An athlete swims the length of a 50m pool in 20 seconds and makes the return trip to…

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Q: A train starts from rest and accelerates uniformly to achieve a velocity of 20 m per sec in 10 sec.…

A: Given,

Q: A car is moving in constant motion along the positive x-direction on a straight and level road. For…

A: the average velocity of the car is ,   vav-x=x2-x1t2-t1

Q: A tennis ball is thrown straight upward with an initial speed of 15 m/s. What is the speed of the…

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Q: When visiting his parents, Tyler drives at an average speed of 42 km/h through urban areas and at an…

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Q: A car with an unknown initial velocity decelerates over the course of 6.00 s to a velocity of 15.0…

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Q: You drive your car 5.0 km due east at 35 km/hr and suddenly realize that you forgot your wallet. So,…

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Q: An object starts from rest and undergoes a constant acceleration.  It reaches a final velocity of vf…

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Q: Question 11 A jogger jogs from one end to the other of a straight 500-m country road in 5 minutes…

A: a) average speed = distance/time  = (500+500)/(5×60 + 6×60)  = 1.51 m/s  b) average velocity =…

Q: An escaping robber was running at a constant velocity of 5 m/s. Two seconds after, he passed by a…

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Q: car starting from rest moves with a constant acceleration of 10km/ℎ?^2 for 1 hour, then decelerates…

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Q: Calculate the height (in m) of a cliff if it takes 2.27 s for a rock to hit the ground when it is…

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Q: While standing at the edge of the roof of a building, a man throws a stone upward with an initial…

A: Given that: Initial speed = 6.71 m/s2 g= -9.81 m/s2 (vertically upward) Let point P be the highest…

Q: The graph below shows the velocity versus time for a bullet as it is fired from a gun, travels a…

A: acceleration is change in velocity per unit time.  To find acceleration from velocity(y axis) -…

Q: While standing at the edge of the roof of a building, a man throws a stone upward with an initial…

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Q: A car driving on a straight track accelerates at a rate of 3.2 m/s^2 for 4 secs. If the initial…

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Q: The acceleration of a vehicle takes the form du = 3.6 – 0.06u dt where u is the vehicle speed in ft…

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Q: (t) = te^(-t/2) A) Find the velocity at time t in ft/s v(t) = ___   B) What is the velocity…

A: Hi, your question has multiple sub-parts so we will solve first three sub-parts for you. For…

Q: A car, initially at rest, accelerates for 8.2 s and has a final speed of 18.7 m/s. What was its…

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Q: A car starts from rest, then accelerates at a constant rate over a distance of 70 m. It then…

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Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –