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}
+ 5t
^{2}
- 11t - 5. What would be its instantaneous position at t = 5 seconds?
1175 meters
1025 meters
10 meters
1000 meters
omit
Question 2
What is the cart's displacement between t = 5 seconds and t = 13 seconds?
19734 meters
17384 meters
4499 meters
18559 meters
omit
Question 3
What is the cart's average velocity during the interval t = 5 seconds and t = 13 seconds?
2319.9 m/sec
146.9 m/sec
2466.8 m/sec
2173 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 5 seconds and t = 13 seconds?
1192.6 m/sec
3536.0 m/sec
661.0 m/sec
4197.0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 13 seconds?
4.42 x 10
^{2}
m/sec
^{2}
7.54 x 10
^{2}
m/sec
^{2}
3.23 x 10
^{2}
m/sec
^{2}
1.49 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 = 13 seconds?
True
False
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