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}
+ 5t
^{2}
- 8t - 6. What would be its instantaneous position at t = 5 seconds?
875 meters
1034 meters
900 meters
11 meters
omit
Question 2
What is the cart's displacement between t = 5 seconds and t = 12 seconds?
12906 meters
13940 meters
11872 meters
2696 meters
omit
Question 3
What is the cart's average velocity during the interval t = 5 seconds and t = 12 seconds?
1696 m/sec
1991.4 m/sec
147.7 m/sec
1843.7 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 5 seconds and t = 12 seconds?
583.0 m/sec
2569.0 m/sec
868.7 m/sec
3152.0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 12 seconds?
3.67 x 10
^{2}
m/sec
^{2}
6.24 x 10
^{2}
m/sec
^{2}
1.24 x 10
^{2}
m/sec
^{2}
2.63 x 10
^{2}
m/sec
^{2}
omit
Question 6
True or False. The acceleration in
Question 5
was constant between between t = 5 seconds and t = 12 seconds?
True
False
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