Practice Problems
Kinematics Relationships
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
+ 5t
2
- 8t - 5. What would be its instantaneous position at t = 5 seconds?
910 meters
10 meters
750 meters
775 meters
omit
Question 2
What is the cart's displacement between t = 5 seconds and t = 11 seconds?
8674 meters
9584 meters
7764 meters
1519 meters
omit
Question 3
What is the cart's average velocity during the interval t = 5 seconds and t = 11 seconds?
1294 m/sec
151.7 m/sec
1597.3 m/sec
1445.7 m/sec
omit
Question 4
What is the cart's change in velocity during the interval t = 5 seconds and t = 11 seconds?
2296.0 m/sec
606.5 m/sec
508.0 m/sec
1788.0 m/sec
omit
Question 5
What would be its instantaneous acceleration at 11 seconds?
2.98 x 10
2
m/sec
2
2.09 x 10
2
m/sec
2
5.06 x 10
2
m/sec
2
1.01 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 = 11 seconds?
False
True
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