Question

A moving body is covering the displacement
directly proportional to the square of the
time. The acceleration of the body is​

Answer 1

ANSWER:

a~6/t^4

Explained:

Let the displacement be s and time be t,

A.T.Q

s~1/t^2.

(~ is used as a sign of proportionality)

Differentiating both sides ,

ds/dt~(-2)/t^3

Again differentiating the sides,

dv/dt~(-2)(-3)/t^4.......(ds/dt=v)

dv/dt~6/t^4

a~6/t^4

Hence,

Acceleration is directly proportional to 6/t^4 of the time taken.