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) = 7t
3
+ 4t
2
- 9t - 4. What would be its instantaneous position at t = 4 seconds?
464 meters
448 meters
544 meters
8 meters
omit
Question 2
What is the cart's displacement between t = 4 seconds and t = 11 seconds?
9896 meters
9352 meters
2656 meters
10440 meters
omit
Question 3
What is the cart's average velocity during the interval t = 4 seconds and t = 11 seconds?
77.7 m/sec
1413.7 m/sec
1491.4 m/sec
1336 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 4 seconds and t = 11 seconds?
763.6 m/sec
2638.0 m/sec
2261.0 m/sec
377.0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 11 seconds?
5.5 x 10
2
m/sec
2
3.23 x 10
2
m/sec
2
2.4 x 10
2
m/sec
2
1.09 x 10
2
m/sec
2
omit
Question 6
True or False. The acceleration in
Question 5
was constant between between t = 4 seconds and t = 11 seconds?
True
False
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