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


2. The average speed of a moving object during a given interval of time is always:
A.the magnitude of its average velocity over the interval
B.the distance covered during the time interval divided by the time interval
C.one-half its speed at the end of the interval
D.its acceleration multiplied by the time interval
E.one-half its acceleration multiplied by the time interval.


3. 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 average acceleration (in cm/s2) from the third to the eighth second?
A.-2.5
B.-4.0
C.-5.0
D.-6.0
E.-6.67


4. The coordinate of an object is given as a function of time by x = 7t – 3t2, where x is in meters and t is in seconds. Its average velocity over the interval from t = 0 to t = 2 s is:
A.5 m/s
B.–5 m/s
C.1 m/s
D.–1 m/s
E.–14.5 m/s


5. Of the following situations, which one is impossible?
A.A body having velocity east and acceleration east
B.A body having velocity east and acceleration west
C.A body having zero velocity and non-zero acceleration
D.A body having constant acceleration and variable velocity
E.A body having constant velocity and variable acceleration


6. Throughout a time interval, while the speed of a particle increases as it moves along the x axis, its velocity and acceleration might be:
A.positive and negative, respectively
B.negative and positive, respectively
C.negative and negative, respectively
D.negative and zero, respectively
E.positive and zero, respectively


7. Over a short interval near time t = 0 the coordinate of an automobile in meters is given by
x(t) = 27t – 4.0t3, where t is in seconds. At the end of 1.0 s the acceleration of the auto is:
A.27 m/s2
B.4.0 m/s2
C.–4.0 m/s2
D.–12 m/s2
E.–24 m/s2


8. Starting at time t = 0, an object moves along a straight line with velocity in m/s given by
v(t) = 98 – 2t2, where t is in seconds. When it momentarily stops its acceleration is:
A.0
B.–4.0 m/s2
C.–9.8 m/s2
D.–28 m/s2
E.49 m/s2


9. A ball is in free fall. Its acceleration is:
A.downward during both ascent and descent
B.downward during ascent and upward during descent
C.upward during ascent and downward during descent
D.upward during both ascent and descent
E.downward at all times except at the very top, when it is zero


10. An object is thrown vertically upward at 35 m/s. Taking g = 10 m/s2, the velocity of the object 5 seconds later is:
A.7.0 m/s up
B.15 m/s down
C.15 m/s up
D.85 m/s down
E.85 m/s up


11. The area under a velocity-time graph represents:
A.acceleration
B.change in acceleration
C.speed
D.change in velocity
E.displacement


12.

An object is dropped from rest. Which of the five following graphs correctly represents its motion? The positive direction is taken to be downward.




A.I
B.II
C.III
D.IV
E.V



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