Question

A body travels in a semi-circular path of a radius 6 m. What is the ratio of
speed and velocity, if the time taken to travel this path is 11 s?

Answer 1

It's speed is = distance/time

And velocity is = displacement/time

Distance = 2*π*6/2 = 6π (divided by 2 since it's a semi circle)

So speed = 6π/11

Displacement = 2r = 2*6 = 12 (since opposite points , shortest distance is through diameter)

So velocity will be = 12/11

Ratio = Speed/velocity = (6π/11)/(12/11)

=6π/12

=π/2

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Answer 2

Answer:

It's speed is distance/time

And velocity is = displacement/time

Distance = 2*T*6/2 = 6¹ (divided by 2 since So speed = 6T/11

it's a semi circle)

Displacement = 2r = 2*6 = 12 (since opposite points, shortest distance is through diameter)

So velocity will be = 12/11

Ratio = Speed/velocity = (6/11)/(12/11)

=6π/12

=TT/2