Starting from rest, a bus leaves a gas station with a constant acceleration of 2 m/s˄2 until it reaches a speed of 10 m/s. The bus then continues to move with this speed (10 m/s) for 5 s. Then the bus decelerates at 2.5 m/s˄2 until it stops. What is the total distance traveled by the bu

Q: A rocket-powered sled moves along a track, eventually reaching a top speed of 192 m/s to the west.…

A: Apply the first kinematic equation. Here, v represents the final velocity, u represents the initial…

Q: motorcycle started from rest is moving at a constant acceleration of 10 m/s^2 for 10 s. What is the…

A: Given  initial speed (u)=0 acceleration(a)=10 ms-2 time taken(t)=10 s Required total displacement…

Q: A car is traveling at 20 m/s. At t = 0 s, it begins to slow at a constant rate so that its speed is…

A: From kinematics equation, v2=u2+2as

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: A rocket-powered sled moves along a track, eventually reaching a top speed of 203 m/s to the east.…

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Q: An object covers 60 m in 6 s in the positive x-axis while slowing down with constant acceleration to…

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Q: As part of an exercise program, a woman walks south at a speed of 2 m/s for 60 minutes. She then…

A: Given: The intial velocity of the object is 2 m/s in the south for 60 minutes. The distance traveled…

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

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Q: A particle moves according to the equation x = *+ 4, where x is in meters and t is in seconds.…

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

Q: At a certain time a particle had a speed of 18 m/s in the positive x direction, and 4 s later its…

A: Given data:  Initial speed, u = 18 m/s   Final speed, v = -30 m/s   Time, t = 4 s

Q: A car starting from rest has a constant acceleration of 4 meters per second per second. How fast…

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Q: The acceleration of an object as a function of time is given by a(t) = (3.00 m/s³)t, where t is in…

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Q: Two objects are traveling on the same track. For 10 s, Object X has an average acceleration of 3.0…

A: Given data The average acceleration of the object X is a x = 3 m/s2 The initial velocity of the…

Q: An object is moving in a straight line with constant acceleration. Initially it is traveling at 16…

A: Given that:- Initial velocity of an object=16m/s

Q: A rocket-powered sled moves along a track, eventually reaching a top speed of 212 m/s to the west.…

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Q: Problem 2.25 A car moving in a straight line starts at z = 0 at t = 0. It passes the point = 25.0 m…

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Q: Starting from rest, a bus leaves a gas station with a constant acceleration of 2 m/s˄2 until it…

A: Given data: Starting from rest  Acceleration (a) = 2 m/s2 Final velocity (v) = 10 m/s Then continues…

Q: Whats is the distance traveled by a car in 6s, if the initial speed is 2 m/s and the acceleration is…

A: We know that the relation  distance S=ut+12at2   given t=6su=2 m/sa=2 m/s2

Q: A rocket-powered sled moves along a track, eventually reaching a top speed of 258 m/s to the east.…

A: The equation for the average acceleration is given by aavg=vf-viΔt Here, vf is the final velocity,…

Q: A ball is pushed downhill with an initial velocity of 4.3 m/s. The ball rolls down a hill with a…

A: Given: The initial velocity of the ball is 4.3 m/s. The acceleration of the ball is 1.2 m/s2. The…

Q: rts from rest, then accelerates at a constant rate over a distance of 73 m. It then immediately…

A: We know that the car starts from rest and accelerates with an acceleration of a  m/s2. and travel a…

Q: A racing enthusiast claims that his sports car will accelerate from rest to a speed of 43.0 m/s in…

A: SOlution: Given that car started from rest to speed of 43 m/s in 8.1 s

Q: s to slow down, reaching a complete stop after slowing down for 1.52 s. What was the sled s average…

A: GivenInitial speed of rocket-powered sled  toward west, u=256 m/sRocket-powered sled slowing down…

Q: A test rocket is fired straight up from rest with a net acceleration of 20.0 m/s2. After 4.00…

A: Initial velocity of test rocket,(u)=0 m/sec ----(1) [Initially at rest] Net acceleration of the test…

Q: A car starts from rest, then accelerates at a constant rate over a distance of 52 m. It then…

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Q: In a boat race, boat A is leading boat 8 by 50 m and both boats are traveling at a constant speed of…

A: Solution: Boats A and B are in race. Boat A is ahead of boat B. Initially they have same speed u.…

Q: A train starts from rest and accelerates uniformly, until it has traveled 5.6 km and acquired a…

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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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Q: A jet plane beginning its takeoff moves down the runway at a constant acceleration of 4.30 m/s2.  If…

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Q: car starts from rest, then accelerates at a constant rate over a distance of 66 m. It then…

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Q: A car goes from rest to 30 m/s in 12 s with constant acceleration. How long does it take the car to…

A: According to first equation of motion -  vf=vi+at Given values -  vi=0ms (Starting from…

Q: The acceleration of an object as a function of time is given by a(t) = (3.00 m/s3)t, where t is in…

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Q: A rocket-powered sled moves along a track, eventually reaching a top speed of 174 m/s to the east.…

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Q: The velocity as a function of time for a world-class track sprinter in a 100 m race is shown in the…

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Q: A rocket-powered sled moves along a track, eventually reaching a top speed of 219 m/s to the west.…

A: given:- u = 0 v= 219m/s t= 2.26 s

Q: A rocket-powered sled moves along a track, eventually reaching a top speed of 219 m/s to the east.…

A: acceleration is defined as the rate of change of velocity.  a = (v-u)/t  here, acceleration  is…

Q: a motor starts at a speed of 18m / s after 34 seconds. speed is 63m / s. What is the acceleration of…

A: solution is given as

Q: An airplane accelerates from a velocity of 280 m/s at the constant rate (acceleration) of 12.7 m/s^2…

A: Using kinematic equation, the expression for find final velocity is v2=u2+2adv=u2+2ad

Q: A rocket-powered sled moves along a track, eventually reaching a top speed of 150 m/s to the west.…

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Q: At time t = 0 a car has a velocity of 16 m/s. It slows down with an acceleration given by a =…

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Q: A car starts from rest, then accelerates at a constant rate over a distance of 72 m. It then…

A: Given  Initial velocity u = 0  Distance travelled during acceleration = 72 m  Distance covered…

Q: 2.6 • A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is…

A: a) 2.8 m/s b) 5.2 m/s c) 7.6 m/s

Q: At time t = 0, a car and a truck are side by side on a freeway: car's velocity just then is zero…

A: In the given question We have to determine the distance where the car and truck will again be side…

Q: Some experimental researcher tells us that the position of an object as a function of time is given…

A: Given, The position of an object as a function of time is x(t) = at3 - bt2 + ct - d a = 3.6 m/s3 b =…

Q: In order to pass a physical education class at a university, a student must run 1.0 mi in 13.3 min.…

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Q: A car travels along a straight line. Its distance, x, from a reference point as a function of time,…

A: x(t)=αt2-βtα=1.50 m/s2β=0.00500m/s3t1 and t2 are the time corresponds to initial and final position…

Q: A car is moving with a constant acceleration. At t = 5.0 s its velocity is 8.0 m/s and at t = 8.0 s…

A: Given : t1=5 s t2=8 s u=8 m/s v=14 m/s Determine : distance traveled in the given time interval.…

Q: racing car traveling with constant acceleration increases its speed from 10 m/s to 30 m/s over a…

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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 –