The position of a particle moving along the x axis is given by x = 6.0t^2 - 1.0t^3, where x is in meters and t in seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction?

Students design a model roller-coaster track. they place a rubber ball at the highest point on the track and let it go. the ball rolls along the track pulled only by the force of gravity. eventually, it comes to a stop. which change to the design will result in the ball moving the greatest distance?