A particle is moving in one dimension (along x axis) under the action of a variable force. It's initial position was 16 m right of origin. The variation of its position (x) with time (t) is given as x = − 3 t 3 + 18 t 2 + 16 t x = -3t^{3} + 18t^{2}+16t x = − 3 t 3 + 18 t 2 + 16 t , where is x in m and t is in s. The velocity of the particle when its acceleration becomes zero is _______ m/s.

Physics · Kinematics Part-1 (one dimension) · Acceleration and Avg acceleration

JEE Main 2024 (Online) 1st February Morning Shiftkinematics question

A particle is moving in one dimension (along x axis) under the action of a variable force. It's initial position was 16 m right of origin. The variation of its position (x) with time (t) is given as x=3t3+18t2+16tx = -3t^{3} + 18t^{2}+16t , where is x in m and t is in s. The velocity of the particle when its acceleration becomes zero is _______ m/s.