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A horse is tied to a rope of length 5 m ...

A horse is tied to a rope of length 5 m and the other end of the rope is tied to a pole. Find the displacement and the distance travelled by the horse in the following cases.
When it makes `3/4` th of the revolution.

Text Solution

Verified by Experts

When the horse makes `3/4` th of the revolution
Distance travelled by the horse = `3/4` th of the
circumference of the circle = `3/4(2pir)`
= `3/2xxpixx5=15/2pi=7.5pim`.
Displacement of the horse = `3/4`
`|3/4|` = the shortest distance between `H_(1)andH_(2) = 3/4`
= `5sqrt2m` along `H_(1)` to `H_(2)`.
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