Practice Problems
Kinematics Functions
Topics:
On this worksheet you will work with position, velocity, and acceleration functions expressed in terms of time.
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omit
Question 1
Given that a cart obeys the position function s(t) = 8t
3
+ 3t
2
- 9t - 3. What would be its instantaneous position at t = 3 seconds?
225 meters
216 meters
267 meters
6 meters
omit
Question 2
What is the cart's displacement between t = 3 seconds and t = 11 seconds?
11374 meters
4357 meters
11107 meters
10840 meters
omit
Question 3
What is the cart's average velocity during the interval t = 3 seconds and t = 11 seconds?
1388.4 m/sec
33.4 m/sec
1421.8 m/sec
1355 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 3 seconds and t = 11 seconds?
920.7 m/sec
2979.0 m/sec
2736.0 m/sec
243.0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 11 seconds?
5.94 x 10
2
m/sec
2
2.71 x 10
2
m/sec
2
1.15 x 10
2
m/sec
2
3.42 x 10
2
m/sec
2
omit
Question 6
True or False. The acceleration in
Question 5
was constant between between t = 3 seconds and t = 11 seconds?
False
True
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