Lesson 2.2d - Velocity and Acceleration

by Douglas Frost

| 7 QuestionsJust 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

Find v(t), the instantaneous velocity funciton.

2

1

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

Find the intstantaneous velocity of the object at 2 seconds.

4

1

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

Find v(t), the instantaneous velocity funciton.

6

1

Find the velocity of the object at 5 seconds.

7

1

Find the velocity of the object when the object hits the ground.

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