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Private Library
Lesson 2.2d - Velocity and Acceleration
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by Douglas Frost
| 7 Questions
Just to remind you, average rate of change is the change in distance divided by the change in time, similar to finding the slope of a function.
For questions 1-4, use the position function below regarding a coin dropping from the top of a 1362-foot tall building.
1
1 pt
Find v(t), the instantaneous velocity funciton.
2
1 pt
Find the average velocity on the interval [1, 2]
HINT: Solution should be negative because the object is falling. Use s(t) to compute average velocity.
3
1 pt
Find the intstantaneous velocity of the object at 2 seconds.
4
1 pt
Find the velocity of the coin when it reaches the ground. Round to three decimal places.
HINT: Solve s(t) = 0. Then plug that result into v(t).
For questions 5-8, use the position function below regarding a projectile that is shot upward from the surface of Earth with an initial velocity of 120 meters per second.
5
1 pt
Find v(t), the instantaneous velocity funciton.
6
1 pt
Find the velocity of the object at 5 seconds.
7
1 pt
Find the velocity of the object when the object hits the ground.