A particle moves in a straight line such that its displacement S (in mts ) at a time t (in sec ) is given by S t = t 3 - 4 t 2 + 7 t . The instantaneous velocity v at t = 4 is

Question

A particle moves in a straight line such that its displacement S (in mts ) at a time t (in sec ) is given by S t = t 3 - 4 t 2 + 7 t . The instantaneous velocity v at t = 4 is, 21 m / sec, 23 m / sec, 20 m / sec, 19 m / sec

MARKS App · Accepted Answer

Displacement S = t 3 - 4 t 2 + 7 t Velocity v = d s d t = 3 t 2 - 8 t + 7 At t = 4 s , v = 3 16 - 8 4 + 7 ⇒ v = 23 m/sec.

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