Intro to Calculus - Derivatives and Slope Flashcards

1

When does the particle have an acceleration of -4 m/s²?

0.5 seconds
5 seconds
1/2 meters
6 seconds

2

What is the second derivative of this function?

10x4-8x+1
4x3-8x+x
40x3-8
none of these

3

What is the slope of y=3x² at x=1?

2
1
6
3

4

What is the slope at 5 seconds?

20
6
60
3

5

At what time is the acceleration of this function zero?

2.5 seconds
2 seconds
1 second
0.5 seconds

6

Describe the direction of travel and velocity:

moving to the left with increasing speed
moving to the right with decreasing speed
moving to the left with decreasing speed
moving to the right with increasing speed

7

What is the slope at 32 seconds?

-1
-20
4
-4

8

What is the slope at 10 seconds?

3
does not exist
0
6

9

Describe the direction of travel and velocity:

moving to the right with decreasing speed
moving to the right with constant speed
moving to the left with constant speed
moving to the left with decreasing speed

10

When does the particle change direction?

never
1, 6
-2, -3
2, 3

11

What is the derivative of a velocity-time graph?

Acceleration
Velocity
Position
Distance

12

Describe the direction of travel and velocity:

moving to the left with increasing speed
moving to the left with decreasing speed
moving to the right with decreasing speed
moving to the right with increasing speed

13

Describe the direction of travel and velocity:

moving to the right with decreasing speed
moving to the right with constant speed
moving to the left with decreasing speed
moving to the left with constant speed

14

What is the derivative of a position-time graph?

Acceleration
Position
Velocity
Distance

15

What is the slope of this function?

2
3
-3
-6

Intro to Calculus - Derivatives and Slope

Questions 15

Intro to Calculus - Derivatives and Slope

Questions 15