Question 1

A heavy ball falls freely, starting from rest. Between the third and fourth second of its fall it travels a distance of:

Accepted Answer

A)  4.9 m. 
B)  9.8 m. 
C)  29.4 m 
D)  34.3 m. 
E)  39.8 m. 
A)  4.9 m. 
B)  9.8 m. 
C)  29.4 m 
D)  34.3 m. 
E)  39.8 m.

Question 2

A ball rolls up a slope. At the end of three seconds its velocity is 20 cm/s; at the end of eight seconds its velocity is 0 cm/s. What is the magnitude of its average acceleration from the third to the eighth second?

Accepted Answer

A)  2.5 cm/s2 
B)  4.0 cm/s2 
C)  5.0 cm/s2 
D)  6.0 cm/s2 
E)  6.67 cm/s2 
A)  2.5 cm/s2 
B)  4.0 cm/s2 
C)  5.0 cm/s2 
D)  6.0 cm/s2 
E)  6.67 cm/s2

Question 3

A particle moves along the x axis from xi to x f . Of the following values of the initial and final coordinates, which results in a negative displacement?

Accepted Answer

A)  xi = 4m, x f = 6m 
B)  xi = -4m, x f = -8m 
C)  xi = -4m, x f = 2m 
D)  xi = -4m, x f = -2m 
E)  xi = -4m, x f = 4m 
A)  xi = 4m, x f = 6m 
B)  xi = -4m, x f = -8m 
C)  xi = -4m, x f = 2m 
D)  xi = -4m, x f = -2m 
E)  xi = -4m, x f = 4m

Question 4

A car, initially at rest, travels 20 m in 4 s along a straight line with constant acceleration. The acceleration of the car is:

Accepted Answer

A)  1.3 m/s2 
B)  2.5 m/s2 
C)  4.9 m/s2 
D)  9.8 m/s2 
E)  There is not enough information to answer this question. 
A)  1.3 m/s2 
B)  2.5 m/s2 
C)  4.9 m/s2 
D)  9.8 m/s2 
E)  There is not enough information to answer this question.

Question 5

This graph shows the position of a particle as a function of time. What is its instantaneous velocity at t = 7s?

Accepted Answer

A)  3 m/s 
B)  -3 m/s 
C)  12 m/s 
D)  -12 m/s 
E)  Need additional information. 
A)  3 m/s 
B)  -3 m/s 
C)  12 m/s 
D)  -12 m/s 
E)  Need additional information.

Question 6

The coordinate of an object is given as a function of time by x = 4t2 - 3t3, where x is in meters and t is in seconds. Its average acceleration over the interval from t = 0 to t = 2 s is:

Accepted Answer

A)  -8 m/s2 
B)  4 m/s2 
C)  -10 m/s2 
D)  10 m/s2 
E)  -13 m/s2 
A)  -8 m/s2 
B)  4 m/s2 
C)  -10 m/s2 
D)  10 m/s2 
E)  -13 m/s2

Question 7

Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 60 km/h and the other is moving at 40 km/h. In how many hours will they meet?

Accepted Answer

A)  2.5 h 
B)  2.0 h 
C)  1.75 h 
D)  1.5 h 
E)  1.25 h 
A)  2.5 h 
B)  2.0 h 
C)  1.75 h 
D)  1.5 h 
E)  1.25 h

Question 8

A particle moves along the x axis from xi to x f . Of the following values of the initial and final coordinates, which results in the displacement with the largest magnitude?

Accepted Answer

A)  xi = 4m, x f = 6m 
B)  xi = -4m, x f = -8m 
C)  xi = -4m, x f = 2m 
D)  xi = 4m, x f = -2m 
E)  xi = -4m, x f = 4m 
A)  xi = 4m, x f = 6m 
B)  xi = -4m, x f = -8m 
C)  xi = -4m, x f = 2m 
D)  xi = 4m, x f = -2m 
E)  xi = -4m, x f = 4m

Question 9

Starting at time t = 0, an object moves along a straight line. Its coordinate in meters is given by x(t) = 75t - 1.0t3, where t is in seconds. When it momentarily stops its acceleration is:

Accepted Answer

A)  0 m/s2 
B)  -73 m/s2 
C)  -30 m/s2 
D)  -9.8 m/s2 
E)  9.2 x 103 m/s2 
A)  0 m/s2 
B)  -73 m/s2 
C)  -30 m/s2 
D)  -9.8 m/s2 
E)  9.2 x 103 m/s2

Question 10

A stone is thrown vertically upward with an initial speed of 19.5 m/s. It will rise to a maximum height of:

Accepted Answer

A)  4.9 m 
B)  9.8 m 
C)  19.4 m 
D)  38.8 m 
E)  none of these 
A)  4.9 m 
B)  9.8 m 
C)  19.4 m 
D)  38.8 m 
E)  none of these

Exam 2: Motion Along a Straight Line

A heavy ball falls freely, starting from rest. Between the third and fourth second of its fall it travels a distance of:

A ball rolls up a slope. At the end of three seconds its velocity is 20 cm/s; at the end of eight seconds its velocity is 0 cm/s. What is the magnitude of its average acceleration from the third to the eighth second?

A particle moves along the x axis from xi to x f . Of the following values of the initial and final coordinates, which results in a negative displacement?

A car, initially at rest, travels 20 m in 4 s along a straight line with constant acceleration. The acceleration of the car is:

This graph shows the position of a particle as a function of time. What is its instantaneous velocity at t = 7s?

The coordinate of an object is given as a function of time by x = 4t2 - 3t3, where x is in meters and t is in seconds. Its average acceleration over the interval from t = 0 to t = 2 s is:

Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 60 km/h and the other is moving at 40 km/h. In how many hours will they meet?

A particle moves along the x axis from xi to x f . Of the following values of the initial and final coordinates, which results in the displacement with the largest magnitude?

Starting at time t = 0, an object moves along a straight line. Its coordinate in meters is given by x(t) = 75t - 1.0t3, where t is in seconds. When it momentarily stops its acceleration is:

A stone is thrown vertically upward with an initial speed of 19.5 m/s. It will rise to a maximum height of:

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A particle moves along the x axis from x_i to x_f. Of the following values of the initial and final coordinates, which results in a negative displacement?

The coordinate of an object is given as a function of time by x = 4t² - 3t³, where x is in meters and t is in seconds. Its average acceleration over the interval from t = 0 to t = 2 s is:

A particle moves along the x axis from x_i to x_f. Of the following values of the initial and final coordinates, which results in the displacement with the largest magnitude?

Starting at time t = 0, an object moves along a straight line. Its coordinate in meters is given by x(t) = 75t - 1.0t³, where t is in seconds. When it momentarily stops its acceleration is: