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Question

# In 1.0 s, a particle goes from point A to point B, moving in a semicircle of radius 1.0 m (see figure). The magnitude of the average velocity is

A

3.14 m/s

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B

2.0 m/s

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C

1.0 m/s

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D

Zero

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Solution

## Step 1: Given that:A particle goes from point A to B on the semicircular path.Radius of the path(r) = 1.0m Time taken(t) = 1sec Step 2: calculation of the average velocity of the particle:Average velocity = TotaldisplacementToaltimetaken Total displacement= Shortest distance between initial and final point = Diameter of the semicircle = 2×Radiusofsemicircle = 2×1m = 2m Thus, Average velocity= 2m1sec = 2ms−1 Thus,Option B) 2ms−1 is the correct option.

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