When the distance traveled by a body is directly proportional to the square of the time taken the motion of the body is?

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Text Solution

projectile motionuniform accelerated motionNon uniform accelerated motionnone

Answer : B

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

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