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 𝑥-axis according to 𝑥(𝑡)=10𝑡2𝑡m.

What is the instantaneous velocity at 𝑡=2s?

What is the instantaneous velocity at 𝑡=3s?

What is the instantaneous speed at 𝑡=2s?

What is the instantaneous speed at 𝑡=3s?

What is the average velocity between 𝑡=2s and 𝑡=3s?

Q2:

The position of a particle varies according to 𝑥(𝑡)=3.0𝑡3.0𝑡 m.

What is the particle’s instantaneous velocity when 𝑡=0.25s?

What is the particle’s instantaneous velocity when 𝑡=0.50s?

What is the particle’s instantaneous velocity when 𝑡=1.0s?

What is the particle’s instantaneous speed when 𝑡=0.25s?

What is the particle’s instantaneous speed when 𝑡=0.50s?

What is the particle’s instantaneous speed when 𝑡=1.0s?

Q3:

The position of an object changes as a function of time according to 𝑥(𝑡)=3𝑡 m.

What is the object’s velocity when 𝑡=1 s?

What is the object’s speed when 𝑡=1 s?

Q4:

A particle’s position varies according to 𝑥(𝑡)=3.0𝑡+0.50𝑡 m.

What is the particle’s instantaneous velocity when 𝑡=2.0 s?

What is the particle’s average velocity between 𝑡=1.0 s and 𝑡=3.0 s?

Q5:

What quanity is displacement the integral of?

  • AImpulse
  • BVelocity
  • CForce
  • DAcceleration
  • ETime

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