Question

if in case of a motion displacement is directly proportional to the square of time name the type of motion

Answer 1

Answer:

Acceleration

Explanation:

We know that

The acceleration of body is given by

acceleration = velocity / time

That is

a = v/t

And we know that

velocity = displacement / time = d / t

Putting the value of velocity in acceleration we get

a = d / t / t = d / t²

a = d / t²

And

a×t² = d

This implies that

Displacement (d) is directly proportional to square of time (t²)

Hence body is actually accelerating thats way Displacement (d) is directly proportional to square of time (t²) as we see in above illustration.