the displacement of a body moving along a straight line varies with time as x=2t^2-t^3 then how long after the start does the velocity of the body becomes zero?
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Answer:
4/3
Explanation:
It is given as x=2t^2-t^3
We know v=dx / dt
Therefore;
V=d( 2t^2 - t^3 ) = 0. (As they have asked velocity to be zero)
4t - 3t^2 = 0
t(4 - 3t) = 0
t=0 or t = 4/3
At start t=0 but they have asked after the start hence;
t = 4/3
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