## Question

A body, starting from rest, moves in a straight line with a constant acceleration *a* for a time interval *t* during which it travels a distance *s*_{1}. If continues to move with the same acceleration for the next time interval *t*during which it travels a distance *s*_{2}. The relation between *s*_{1} and *s*_{2} is

### Solution

*s*_{2} = 3*s*_{1}

Since the initial velocity is zero, the distance travelled in the first time interval *t* is

The velocity of the body at the end of this time interval is *v* = 0 + *at* = *at*. This is the initial velocity for the next time interval *t* during which the body travels a distance.

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