The velocity of a particle moving along the x axis is given by vx = a t − b t3 for t > 0 , where a = 26 m/s 2 , b = 1.4 m/s 4 , and t is in s. What is the acceleration of the particle when it achieves its maximum displacement in the positive x direction?

-52 m/s²

Explanation:

Velocity is given by

Acceleration is given by

For maximum displacement we have to equate v = 0

Substituting in the acceleration equation

The acceleration when maximum displacement is achieved is -52 m/s²

the correct choice is a .

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