Lesson 2.2 Applications of Derivatives #1

Question 1

Given s(t) = -16t2+48t+64, what is the average velocity of the object from [1,2] seconds?

Accepted Answer

0 ft/sec

Question 2

Given s(t) = -16t2+48t+64, what is the average velocity of the object from [2.5, 3]

Accepted Answer

40 fps down

Question 3

Given s(t) = -16t2+48t+64 for an object thrown, what is the initial velocity of the object?

Accepted Answer

48 ft/sec upward

Question 4

Given s(t) = -16t2+48t+64, what is the instantaneous velocity function?

Accepted Answer

-32t +48

Question 5

Given s(t) = -16t2+48t+64, what is the height of the bridge?

Accepted Answer

64 feet

Question 6

Given s(t) = -16t2+48t+64, when is the instantaneous velocity zero?

Accepted Answer

1.5 seconds

Question 7

Given s(t) = -16t2+48t+64, what is the velocity of the object when it hits the water?

Accepted Answer

-80 fps

Question 8

Given s(t) = -16t2+48t+64, what is the instantaneous velocity at 2 seconds?

Accepted Answer

-16 fps

Question 9

Given s(t) = -16t2+48t+64, when does the object hit the water?

Accepted Answer

4 seconds

Question 10

Given s(t) = -16t2+48t+64, find v(0.5).

Accepted Answer

32 fps

Questions 10