give
type of motion of object if( i)its displacement is proportional to the time interval and( ii) displacement is proportional to the square of time
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First condition says the displacement is directly proportional to time, i.e.,
Let,
where is a time independent constant.
Differentiating wrt we get the velocity.
It is clear that the velocity is independent of time, so the object moves with constant velocity throughout the time.
So it undergoes a uniform motion here.
Second condition says the displacement is directly proportional to square of time, i.e.,
Let,
where is a time independent constant.
Differentiating wrt we get the velocity.
Again differentiating wrt we get the acceleration.
It is clear that the acceleration is independent of time, so the object moves with constant acceleration or uniformly varying velocity throughout the time.
So it undergoes a uniformly accelerated motion here.
pinkikumari2614:
thanks and good be akways like that
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