AP Calculus - Particle Motion - Derivatives

Question 1

Who invented Calculus?

Accepted Answer

Newton and Liebniz

Question 2

Who is this famous calculus man?

Accepted Answer

Newton

Question 3

Find the expression that represents the acceleration of the particle in cm/s.

Accepted Answer

2t - 6

Question 4

When does the particle have the fastest SPEED?

Accepted Answer

(2, 4)

Question 5

When does the particle REVERSE direction?

Accepted Answer

t = 1 and 4.2 seconds

Question 6

How many MCQ are on the Final Exam?

Accepted Answer

45

Question 7

When is the particle moving at a constant speed?

Accepted Answer

5 < t < 6

Question 8

When is the particle at rest?

Accepted Answer

t = 2, 4

Question 9

Name this movie!!

Accepted Answer

Frozen

Question 10

When is the particle moving to the RIGHT

Accepted Answer

(4,6)

Question 11

When is the particle moving DOWNWARD

Accepted Answer

(2, 4)

Question 12

When is the acceleration of the particle 0?

Accepted Answer

t = 3

Question 13

What is the acceleration of the particle at t = 1?

Accepted Answer

-2 m/s2

Question 14

Find the expression that represents the velocity of the particle in cm/s.

Accepted Answer

t2 - 6t + 8

Question 15

Find the displacement during the first 6 seconds.

Accepted Answer

12 cm

Question 16

When is the particle moving at its greatest speed?

Accepted Answer

t = 3

Question 17

When is the particle standing still?

Accepted Answer

(0,2) and (6,7)

Question 18

When is the particle moving to the LEFT

Accepted Answer

(2,4)

Question 19

Find the average velocity during the first 6 seconds.

Accepted Answer

2 cm/s

Questions 19