Practice Problems
Kinematics Functions
Directions:
On this worksheet you will work with position, velocity, and acceleration functions expressed in terms of time.
omit
Question 1
Given that a cart obeys the position function s(t) = 5t
^{2}
- 3t + 9. What would be its instantaneous position at t = 3 seconds?
36 meters
45 meters
45 meters
12 meters
omit
Question 2
What is the cart's displacement between t = 3 seconds and t = 8 seconds?
260 meters
350 meters
119 meters
305 meters
omit
Question 3
What is the cart's average velocity during the interval t = 3 seconds and t = 8 seconds?
70.0 m/sec
9.0 m/sec
52 m/sec
61.0 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 3 seconds and t = 8 seconds?
27.0 m/sec
50.0 m/sec
77.0 m/sec
23.1 m/sec
omit
Question 5
What would be its instantaneous acceleration at 8 seconds?
1 x 10
^{1}
m/sec
^{2}
1 x 10
^{1}
m/sec
^{2}
9.63 x 10
^{0}
m/sec
^{2}
4.63 x 10
^{0}
m/sec
^{2}
omit
Question 6
True or False. The acceleration in
Question 5
was constant between between t = 3 seconds and t = 8 seconds?
False
True
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