AP Calculus AB - Derivatives & Motion

Question 1

What is the velocity at t=1?

Accepted Answer

1 m/s

Question 2

Take the derivative of the following function at x=1

Accepted Answer

18

Question 3

what is velocity?

Accepted Answer

includes the speed of an object and the direction of its motion

Question 4

Take the derivative of 1/4t3

Accepted Answer

3/4t2

Question 5

Acceleration can be a change in speed or ____________________.

Accepted Answer

direction

Question 6

Acceleration

Accepted Answer

m s−2

Question 7

Take the derivative

Accepted Answer

D

Question 8

when acceleration and velocity are in the same direction, the speed will

Accepted Answer

increase

Question 9

Velocity tells you

Accepted Answer

the speed and direction

Question 10

Acceleration is rate of change of _________.

Accepted Answer

velocity

Question 11

Acceleration is

Accepted Answer

The rate of change in velocity.

Question 12

The units for acceleration are

Accepted Answer

meters per second squared m/s2

Question 13

Now take the derivative of f'(x)=x3+3x

Accepted Answer

f'(x)=3x2+3

Question 14

Take the derivative of f\left(x\right)

Accepted Answer

f'\left(x\right)=\frac{\left(-12x\right)}{\left(x^2+3\right)^2}

Question 15

When the velocity and acceleration of an object are in opposite directions the object...

Accepted Answer

Slows Down

Question 16

An object can be speeding up and have a negative acceleration

Accepted Answer

True

Question 17

Velocity occurs....

Accepted Answer

In one direction only

Question 18

Which line has a constant velocity

Accepted Answer

C

Question 19

What is Velocity?

Accepted Answer

Speed and Direction

Question 20

Take the derivative.

Accepted Answer

A

Questions 20