Question

The displacement of a particle starting from rest at t = 0 is given by 3t^2-t^3. Calculate the time at which the acceleration of the particle becomes zero

Answer 1

Answer:

t=1

Step-by-step explanation:

displacement us given as 3t^2 -t^3

velocity :-

time derivative of displacement

so v = 6t - 3t^2

acceleration :-

time derivative of velocity

so

a = 6 - 6t

so acceleration of the particle to be zero a = 0

e.i. 6-6t = 0

=> 6t= 6

=> t = 1