Question

Define instantaneous velocity mathematically.
The displacement of a particle starting from rest at t=0 is given x=6t²-t³.
Calculate the time at which the particle will attained zero velocity again​

Answer 1

Answer:

4s

Explanation:

Given ,

x=6t^2-t^3

therefore,,

v=dx/dt

=d(6t^2-t^)/dt

=12t-3t^2

Now

if v=0

then

12t-3t^2=0

12t=3t^2

4t=t^2

therefore,

t=4s

Thus particle will attain zero velocity at time 4s