Question 1

A train starts from rest and accelerates uniformly until it has traveled  5.6 km and acquired a forward velocity of  42 m/s. The train then moves at a constant velocity of  42 m/s for  420 s. The train then slows down uniformly at  until it is brought to a halt. The acceleration during the first  5.6 km of travel is closest to which of the following?
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of A train starts from rest and accelerates...

Question 2

A car increases its forward velocity uniformly from  40 m/s  to  80 m/s while traveling a distance of  200  m. What is its acceleration during this time?
A) 
B) 
C) 
D)

Accepted Answer

The answer of A car increases its forward velocity uniformly...

Question 3

A car is moving with a speed of 32.0 m/s. The driver sees an accident ahead and slams on the brakes, causing the car to slow down with a uniform acceleration of magnitude 3  How far
Does the car travel after the driver put on the brakes until it comes to a stop?
A) 9.14 m
B) 146 m
C) 292 m
D) 112 m
E) 4.57 m

Accepted Answer

The answer of A car is moving with a speed...

Question 4

An airplane starts from rest and accelerates at a constant 10  What is its speed at the end of a 400 m-long runway?
A) 65.7 m/s
B) 186 m/s
C) 93.0 m/s
D) 37.0 m/s
E) 4320 m/s

Accepted Answer

The answer of An airplane starts from rest and accelerates...

Question 5

An object is moving in a straight line with constant acceleration. Initially it is traveling at  16 m/s. Three seconds later it is traveling at  10 m/s. How far does it move during this time?
A)  48 m
B)  57 m
C)  30 m
D)  39 m

Accepted Answer

To find the distance traveled, we first calculate the acceleration using the formula $a = \frac{\Delta v}{\Delta t}$, where $\Delta v = v_f - v_i = 10\,m/s - 16\,m/s = -6\,m/s$ and $\Delta t = 3\,s$. Thus, $a = \frac{-6\,m/s}{3\,s} = -2\,m/s^2$. The distance traveled can be found using the formula $s = v_i t + \frac{1}{2} a t^2$, where $v_i = 16\,m/s$, $a = -2\,m/s^2$, and $t = 3\,s$. Substituting these values, we get $s = 16\,m/s \times 3\,s + \frac{1}{2} \times -2\,m/s^2 \times (3\,s)^2 = 48\,m - 9\,m = 39\,m$.

Question 6

An airplane needs to reach a forward velocity of  203.0 km/h to take off. On a 2000-m runway, what is the minimum uniform acceleration necessary for the plane to take flight if it starts from rest?
A) 
B) 
C) 
D)

Accepted Answer

The answer of An airplane needs to reach a forward...

Question 7

A train starts from rest and accelerates uniformly until it has traveled  2.1 km and acquired a forward velocity of  24 m/s. The train then moves at a constant velocity of  24 m/s for  400 s. The train then slows down uniformly at  until it is brought to a halt. The distance traveled by the train while slowing down is closest to
A)  4.4 km.
B)  3.6 km.
C)  4.2 km.
D)  4.0 km.
E)  3.8 km.

Accepted Answer

The answer of A train starts from rest and accelerates...

Question 8

A car starts from rest and accelerates at a steady  How far does it travel in the first  3.00 
A) 9.00 m
B) 36.0 m
C) 54.0 m
D) 18.0 m
E) 27.0 m

Accepted Answer

The answer of A car starts from rest and accelerates...

Question 9

A car accelerates from  5.0 m/s  to  21 m/s at a constant rate of   How far does it travel while accelerating?
A)  69 m
B)  41 m
C)  117 m
D)  207 m

Accepted Answer

The answer of A car accelerates from  5.0 m/s...

Question 10

Assuming equal rates of uniform acceleration in both cases, how much further would you travel if braking from  56 mi/h  to rest than from  28 mi/h?
A)  3.2  times farther
B) 4 times farther
C)  5.2  times farther
D)  4.8  times farther

Accepted Answer

The distance covered during braking (deceleration) can be found using the formula $d = \frac{v^2}{2a}$, where $d$ is the distance, $v$ is the velocity, and $a$ is the acceleration. Since the acceleration is constant in both cases, the ratio of the distances covered when braking from 56 mi/h to 0 and from 28 mi/h to 0 is $(56^2) / (28^2) = 4$. This means you would travel 4 times farther when braking from 56 mi/h compared to 28 mi/h.

Question 11

A car is moving with a constant acceleration. At time t = 5.0 s its velocity is 8.0 m/s in the forward direction, and at time t = 8.0 s its velocity is 12.0 m/s forward. What is the distance traveled in that
Interval of time?
A) 10 m
B) 20 m
C) 30 m
D) 50 m
E) 40 m

Accepted Answer

The answer of A car is moving with a constant...

Question 12

A car with good tires on a dry road can decelerate (slow down) at a steady rate of about  when braking. If a car is initially traveling at  55 mi/h
(a) how much time does it take the car to stop?
(b) what is its stopping distance?

Accepted Answer

The answer of A car with good tires on a...

Question 13

Acceleration is sometimes expressed in multiples of  where  is the acceleration of an object due to the earth's gravity. In a car crash, the car's forward velocity may go from  29 m/s  to  0 m/s in  0.15 s. How many  g  's are experienced, on average, by the driver?
A) 
B) 
C) 
D)

Accepted Answer

The answer of Acceleration is sometimes expressed in multiples of...

Question 14

A soccer ball is released from rest at the top of a grassy incline. After  6.4  seconds the ball has rolled  91 m with constant acceleration, and  1.0 s later it reaches the bottom of the incline.
(a) What was the ball's acceleration?
(b) How long was the incline?

Accepted Answer

The answer of A soccer ball is released from rest...

Question 15

A baseball is hit with a bat and, as a result, its direction is completely reversed and its speed is doubled. If the actual contact with the bat lasts 0.45 s, what is the ratio of the magnitude of the
Average acceleration of the ball to its original speed? 
A) 
B) 
C) 
D)

Accepted Answer

The answer of A baseball is hit with a bat...

Question 16

A car starts from rest and accelerates uniformly at  toward the north. A second car starts from rest  6.0 s later at the same point and accelerates uniformly at  toward the north. How long after the second car starts does it overtake the first car?
A)  21 s
B)  24 s
C)  12 s
D)  19 s

Accepted Answer

The answer of A car starts from rest and accelerates...

Question 17

At the instant a traffic light turns green, a car that has been waiting at the intersection starts ahead with a constant acceleration of 
At that moment a truck traveling with a constant velocity of  15.0 m/s overtakes and passes the car.
(a) Calculate the time necessary for the car to reach the truck.
(b) Calculate the distance beyond the traffic light that the car will pass the truck.
(c) Determine the speed of the car when it passes the truck.

Accepted Answer

The answer of At the instant a traffic light turns...

Question 18

An object starts from rest and undergoes uniform acceleration. During the first second it travels  5.0 m. How far will it travel during the third second?
A)  15 m
B)  5.0 m
C)  45 m
D)  25 m

Accepted Answer

The answer of An object starts from rest and undergoes...

Question 19

A bicyclist starts a timed race at 6.0 mi/h. In order to win, he must average 21 mi/h. Assuming constant acceleration from the start, how fast must he be traveling at the end of the race?
A) 36 mi/h
B) 42 mi/h
C) 30 mi/h
D) 24 mi/h

Accepted Answer

To average 21 mi/h over the race, the final speed must be such that the average of the initial (6 mi/h) and final speeds equals 21 mi/h. Using the formula for average speed (initial speed + final speed)/2 = average speed, we solve for the final speed: (6 + final speed)/2 = 21, leading to a final speed of 36 mi/h.

Question 20

Starting from rest, a dragster travels a straight 1/4 mi racetrack in 6.70 s with constant acceleration. What is its velocity when it crosses the finish line?
A) 269 mi/h
B) 296 mi/h
C) 188 mi/h
D) 135 mi/h

Accepted Answer

To find the final velocity, use the formula v = u + at, where u = initial velocity (0), a = acceleration, and t = time (6.70 s). First, find acceleration using s = ut + 0.5at^2, where s = 1/4 mile = 0.25 miles = 402.336 meters. Solve for a, then use it to find v. Convert v from m/s to mi/h. The correct answer is approximately 269 mi/h.

Quiz 2: Describing Motion: Kinematics in One Dimension

A car increases its forward velocity uniformly from 40 m/s to 80 m/s while traveling a distance of 200 m. What is its acceleration during this time?

A car is moving with a speed of 32.0 m/s. The driver sees an accident ahead and slams on the brakes, causing the car to slow down with a uniform acceleration of magnitude 3 How far Does the car travel after the driver put on the brakes until it comes to a stop?

An airplane starts from rest and accelerates at a constant 10 What is its speed at the end of a 400 m-long runway?

An object is moving in a straight line with constant acceleration. Initially it is traveling at 16 m/s. Three seconds later it is traveling at 10 m/s. How far does it move during this time?

An airplane needs to reach a forward velocity of 203.0 km/h to take off. On a 2000-m runway, what is the minimum uniform acceleration necessary for the plane to take flight if it starts from rest?

A car starts from rest and accelerates at a steady How far does it travel in the first 3.00

A car accelerates from 5.0 m/s to 21 m/s at a constant rate of How far does it travel while accelerating?

Assuming equal rates of uniform acceleration in both cases, how much further would you travel if braking from 56 mi/h to rest than from 28 mi/h?

A car is moving with a constant acceleration. At time t = 5.0 s its velocity is 8.0 m/s in the forward direction, and at time t = 8.0 s its velocity is 12.0 m/s forward. What is the distance traveled in that Interval of time?

A car with good tires on a dry road can decelerate (slow down) at a steady rate of about when braking. If a car is initially traveling at 55 mi/h (a) how much time does it take the car to stop? (b) what is its stopping distance?

Acceleration is sometimes expressed in multiples of where is the acceleration of an object due to the earth's gravity. In a car crash, the car's forward velocity may go from 29 m/s to 0 m/s in 0.15 s. How many g 's are experienced, on average, by the driver?

A soccer ball is released from rest at the top of a grassy incline. After 6.4 seconds the ball has rolled 91 m with constant acceleration, and 1.0 s later it reaches the bottom of the incline. (a) What was the ball's acceleration? (b) How long was the incline?

A baseball is hit with a bat and, as a result, its direction is completely reversed and its speed is doubled. If the actual contact with the bat lasts 0.45 s, what is the ratio of the magnitude of the Average acceleration of the ball to its original speed?

A car starts from rest and accelerates uniformly at toward the north. A second car starts from rest 6.0 s later at the same point and accelerates uniformly at toward the north. How long after the second car starts does it overtake the first car?

An object starts from rest and undergoes uniform acceleration. During the first second it travels 5.0 m. How far will it travel during the third second?

A bicyclist starts a timed race at 6.0 mi/h. In order to win, he must average 21 mi/h. Assuming constant acceleration from the start, how fast must he be traveling at the end of the race?

Starting from rest, a dragster travels a straight 1/4 mi racetrack in 6.70 s with constant acceleration. What is its velocity when it crosses the finish line?