# Worksheet: Instantaneous Speed and Velocity

In this worksheet, we will practice calculating instantaneous velocity as the rate of displacement change in a time interval that approaches zero.

Q1:

A particle moves along the -axis according to .

What is the instantaneous velocity at ?

What is the instantaneous velocity at ?

What is the instantaneous speed at ?

What is the instantaneous speed at ?

What is the average velocity between and ?

Q2:

The position of a particle varies according to m.

What is the particle’s instantaneous velocity when ?

What is the particle’s instantaneous velocity when ?

What is the particle’s instantaneous velocity when ?

What is the particle’s instantaneous speed when ?

What is the particle’s instantaneous speed when ?

What is the particle’s instantaneous speed when ?

Q3:

The position of an object changes as a function of time according to m.

What is the object’s velocity when s?

What is the object’s speed when s?

Q4:

A particle’s position varies according to m.

What is the particle’s instantaneous velocity when s?

What is the particle’s average velocity between s and s?

Q5:

What quanity is displacement the integral of?

• AImpulse
• BVelocity
• CForce
• DAcceleration
• ETime