A particle moves along a beam modeling the function: s(t)=3x^4-44x^3+186x^2-252x+24. Using derivatives, find when it is moving, right, left, and stopped. Find the time when the acceleration is zero and the jerk is 5.

Question

A particle moves along a beam modeling the function: s(t)=3x^4-44x^3+186x^2-252x+24.  Using derivatives, find when it is moving, right, left, and stopped. Find the time when the acceleration is zero and the jerk is 5.

ganeshie8 · Answer

find the velocity by taking the derivative of s(t)

ganeshie8 · Answer

if s'(t) > 0, then the particle is moving right
if s'(t) < 0, then the particle is moving left
if s'(t) = 0, then the particle has stopped