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) = 6t
^{3}
+ 4t
^{2}
- 9t - 6. What would be its instantaneous position at t = 4 seconds?
478 meters
10 meters
400 meters
384 meters
omit
Question 2
What is the cart's displacement between t = 4 seconds and t = 10 seconds?
6006 meters
1488 meters
6962 meters
6484 meters
omit
Question 3
What is the cart's average velocity during the interval t = 4 seconds and t = 10 seconds?
1001 m/sec
1160.3 m/sec
79.7 m/sec
1080.7 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 4 seconds and t = 10 seconds?
1889.0 m/sec
1560.0 m/sec
329.0 m/sec
528.9 m/sec
omit
Question 5
What would be its instantaneous acceleration at 10 seconds?
1.89 x 10
^{2}
m/sec
^{2}
4.4 x 10
^{2}
m/sec
^{2}
8.82 x 10
^{1}
m/sec
^{2}
2.6 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 = 10 seconds?
False
True
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