# The displacement of a body is given to be proportional to the cube of time elapsed what us the nature of the acceleration of the body. justify your answer

1
by putta21

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by putta21

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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