Question

the distance travelled by a body in circular path is related to time s = t³+5. The radius is 20m. The acceleration of the body at t=2 is​

Answer 1

Hey anju1910 ,

Given that : s = t³+5.

Let's differentiate it to to find velocity first .

s = dv/dt

v = 3t ^ (3-1) + 0

v = 3t^2

Now differentiate v with respect to time to find acceleration !

a = dv/dt

a = 3x2 t ^(2-1)

a = 6t

Now according to the question, we have to find the acceleration at time (t)= 2 seconds .

a = 6x 2 = 12 m/s^2

Hope it helps you!