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In this lesson, we will learn how to find velocity as the rate of change of displacement, explaining the similarities and differences between speed and velocity.

Q1:

A cyclist joins an east-west road and travels a distance of 240 m east at a speed of 12 m/s. He then immediately turns around and travels a distance of 96 m west at the same speed that he traveled east at and then stops to dismount his bike.

What is the total time for which the cyclist moves?

What is the cyclist’s average velocity to the east from when he joins the road to when he dismounts? Give your answer to two decimal places.

Q2:

An object is initially at rest and then moves 100 m to the left and then 40 m to the right. The time taken between the object first starting to move and having moved 40 m to the right is 20 seconds. What is the object’s average velocity to the left for the 20 s after it begins moving?

Q3:

The velocity-time graph shows the change in the velocity of a person walking in the time interval from 𝑡 = 0 s e c o n d s to 𝑡 = 6 s e c o n d s . The person’s starting point is their position when 𝑡 = 0 s e c o n d s .

What is the person’s displacement from their starting point after 2 seconds?

What is the person’s displacement from their starting point after 3 seconds?

What is the person’s displacement from their starting point after 4 seconds?

What is the person’s displacement from their starting point after 5 seconds?

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