﻿ A particle starts moving from position of rest under a constant acceleration. If it travels a distance x in t second, what distance will it travel in next t second?  from Physics Motion in A Plane Class 11 Manipur Board

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A particle starts moving from position of rest under a constant acceleration. If it travels a distance x in t second, what distance will it travel in next t second?

Given,

Initial velocity, u = 0

Distance travelled, s = x

Time taken to travel x distance, t = t sec

Now, using the relation,

we have
x = 0 + 1/2 at2                     ... (1)

Let the body travel a distance y in next t seconds.

The total distance travelled in t+t = 2t sec will be (x+y).

Therefore,

(x+y) = 1/2 a (2t)2

= 1/2a x 4t2                 ... (2)

Dividing equation (2) by (1), we have

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