Can you find the acceleration when a particle reaches its maximum displacement in the positive x direction without taking the integral? Here is the question:
The velocity of a particle moving along the x-axis for t_0 is given by v = 24-3t^3. What is the particle's acceleration when it achieves its maximum displacement in the +x-direction?

Question

Can you find the acceleration when a particle reaches its maximum displacement in the positive x direction without taking the integral? Here is the question:
The velocity of a particle moving along the x-axis for t_>0 is given by v = 24-3t^3. What is the particle's acceleration when it achieves its maximum displacement in the +x-direction?

badhi · Answer

the maximum displacement occurs at the point where the velocity changes its direction find the point where the that happens from the given expression $v(t)$

Get the derivative and find the acceleration at that time instance