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Question: The displacement of a particle starting from rest (at\(t = 0\)) is given by \(s = 6t^{2} - t^{3}\). ...

The displacement of a particle starting from rest (att=0t = 0) is given by s=6t2t3s = 6t^{2} - t^{3}. The time in seconds at which the particle will attain zero velocity again, is

A

2

B

4

C

6

D

8

Answer

4

Explanation

Solution

v=dsdt=12t3t2v = \frac{ds}{dt} = 12t - 3t^{2}

Velocity is zero for t=0t = 0 and t=4sect = 4\sec