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) = 5t
^{3}
+ 5t
^{2}
- 10t - 5. What would be its instantaneous position at t = 5 seconds?
625 meters
650 meters
10 meters
795 meters
omit
Question 2
What is the cart's displacement between t = 5 seconds and t = 10 seconds?
6390 meters
4800 meters
795 meters
5595 meters
omit
Question 3
What is the cart's average velocity during the interval t = 5 seconds and t = 10 seconds?
1119.0 m/sec
159.0 m/sec
1278.0 m/sec
960 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 5 seconds and t = 10 seconds?
400.5 m/sec
435.0 m/sec
1610.0 m/sec
1175.0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 10 seconds?
2.35 x 10
^{2}
m/sec
^{2}
4 x 10
^{2}
m/sec
^{2}
1.61 x 10
^{2}
m/sec
^{2}
8.01 x 10
^{1}
m/sec
^{2}
omit
Question 6
True or False. The acceleration in
Question 5
was constant between between t = 5 seconds and t = 10 seconds?
True
False
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