Question

The displacement of particle starting from rest at t= 0 is given by s =6t2 - t3 the time in second at which the particle will attain zero velocity again is

Answer 1

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Answer 2

Answer: 4sec

Step-by-step explanation:

Given is the s = f(t)

s = 6t²-t³

As velocity is the first derivative of displacement

i.e., v = ds/dt

= d/dt (6t²-t³)

= 12t - 3t²

Since velocity is reaching zero, eqn be equated to zero

v = 12t² - 3t² = 0

12t² = 3t²

t = 4 sec

And here's the ans.

Hope it helps....