Problems 2/1 through 2/6 treat the motion of a particle which moves along the s-axis sho...

Problems 2/1 through 2/6 treat the motion of a particle which moves along the s-axis shown in the figure.

The displacement of a particle is given by s = 2t³ - 30t² + 100t -50, where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 12 seconds of motion. Determine the time at which the velocity is zero.