Question

4. The displacement s of a particle is proportional to the first power of time t, i.e., s α t ; then the acceleration of the particle is​

Answer 1

Answer:

ANSWER

Let displacement be s

So, s is prop to t3

s=kt3  Where k is the proportionality constant

On differentiation

dtds=3kt2

⇒v=3kt2

On again differentiation

dt2d2s=6kt

⇒a=6kt

So,a is proportional to t

Where 6k is the proportionality constant

Acceleration is directly proportional to time, it varies linearly with time and increases with respect to time.