Derivatives of Rate of Change

Question 1

Position function

Answer 1

s=f(t)

Question 2

Velocity function

Answer 2

v=f’(t)

Question 3

Acceleration Function

Answer 3

a= f’‘(t)

Question 4

Speed

Answer 4

|v|=|f’(t)|

Question 5

Jerk

Answer 5

j=f’’‘(t)

Question 6

How do you calculate average velocity?

Answer 6

Use position function to get v(t)

Question 7

How do you calculate average acceleration?

Answer 7

Use v(t) to calculate a(t)