In this lesson, we will learn how to calculate the average speed or velocity of an object referring to the variation of their distances or displacements with time.

Q1:

A helicopter blade spins at exactly 140 revolutions per minute. Its tip is 5.00 m from the center of rotation.

Calculate the average speed of the blade tip in the helicopter’s frame of reference. Give your answer in meters per second.

What is its average velocity over one revolution? Give your answer in meters per second.

Q2:

Earth orbits the Sun at a distance of approximately 1 . 5 × 1 0 8 km.

Assuming that Earth has a circular orbit, what is Earth’s average orbital speed around the Sun? Give your answer in meters per second.

What is the average velocity of Earth relative to the Sun over a period of one year? Give your answer in meters per second.

Q3:

The position function of a particle is r i j k ( 𝑡 ) = 2 . 0 𝑡 + ( 2 . 0 + 3 . 0 𝑡 ) + 5 . 0 𝑡 2 m .

What is the particle’s instantaneous velocity at 𝑡 = 2 . 0 s ?

What is the particle’s instantaneous speed at 𝑡 = 2 . 0 s ?

What is the particle’s average velocity between 𝑡 = 1 . 0 s and 𝑡 = 3 . 0 s ?

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