Question

the displacement of a body is given to be proportional to the cube of time elapse. how does the acceleration of this body change with time​

Answer 1

Let displacement be s

s is prop to t³

s=kt³

on differentiation

ds/dt=3kt²⇒v =3kt²

on again differentiation

d²s/dt=6kt⇒a =6kt

a is prop to t

⇒ acceleration is directly prop to time,it varies linearly with time and increases with resp to time

i hope it help u!