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) = 8t
^{3}
+ 4t
^{2}
- 11t - 5. What would be its instantaneous position at t = 4 seconds?
9 meters
528 meters
512 meters
615 meters
omit
Question 2
What is the cart's displacement between t = 4 seconds and t = 12 seconds?
4435 meters
15142 meters
13912 meters
14527 meters
omit
Question 3
What is the cart's average velocity during the interval t = 4 seconds and t = 12 seconds?
1815.9 m/sec
1892.8 m/sec
1739 m/sec
76.9 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 4 seconds and t = 12 seconds?
1056.8 m/sec
3136.0 m/sec
427.0 m/sec
3563.0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 12 seconds?
6.72 x 10
^{2}
m/sec
^{2}
2.97 x 10
^{2}
m/sec
^{2}
3.92 x 10
^{2}
m/sec
^{2}
1.32 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 = 12 seconds?
True
False
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