1.

The distance travelled by a body is proportional to the square of time. What type of motion this body has ?

Answer» Let x be the distance travelled in time t. Then,
`x prop t^(2)` (given)
`x = kt^(2)` (Here, k = constant of proportionality)
We know that velocity is given
`v = (dx)/(dt) = 2 kt`
and acceleration is given by
`a=(dv)/(dt)=2 k` (constant)
Thus, the body has uniform accelerated motion.


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