A bug starts out at rest, 3 m to the right of the origin. It then starts moving

Question

A bug starts out at rest, 3 m to the right of the origin. It then starts moving on a trip. After 3 s, the bug is seen at 6 m to the right of the origin, travelling at 4 m/s to the right. After 6 s (from the start of the trip), the bug is seen at 4 m to the left of the origin, travelling at 6 m/s to the right.

a.) What is the position vector of the bug 3 s after the start of the trip?

b.) What is the displacement vector of the bug for the entire trip?
c.) What is the average velocity of the bug for the first 3 s of the trip?

d.) What is the average velocity of the bug for the entire trip?

Explanation / Answer

The last sentence can be ignored.

At 0 seconds the bug is at 3m to the right of the origin.
At 3 seconds the bug is at 6m to the right of the the origin.

Velocity = displacement/time
Velocity = (6m-3m)/3
Velocity = 1.67 m/s to the right.

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