A particle is moving in a straight line. The variation of position ' x ' as a function of time ' t ' is given as x = ( t 3 − 6 t 2 + 20 t + 15 ) m . The velocity of the body when i

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A particle is moving in a straight line. The variation of position ' x ' as a function of time ' t ' is given as x = ( t 3 − 6 t 2 + 20 t + 15 ) m . The velocity of the body when its acceleration becomes zero is:

TestHub · Accepted Answer

Displacement, x = t 3 − 6 t 2 + 20 t + 15 ∴ Velocity, v = dt dx ​ = 3 t 2 − 12 t + 20 ∴ Acceleration, a = d t d v ​ = 6 t − 12 When a = 0 ⇒ 6 t − 12 = 0 ⇒ t = 2 s At t = 2 s , v = 3 ( 2 ) 2 − 12 ( 2 ) + 20 = 8 m / s

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