Question

If in a motion, displacement is directly proportional to the square of the time elapsed , what do you think about its acceleration i.e , constant or variable ? explain why.

Answer 1

Displacement is proportional to square of time

s is displacement and t is time then,

s∝t2s∝t2

s=kt2s=kt2

velocity(v) = dsdt=2ktdsdt=2kt

Acceleration(a) = dvdtdvdt = 2k2k = constant.

So, the motion of body is constant acceleration.