A cylinder is given a push and then rolls up an inclined plane. If the origin is the starting point, sketch the position, velocity, and acceleration of the cylinder vs. time as it goes up and then down the plane.
Step-by-step solution 31CQ Step 1 of 4 The initial push to cylinder provides it some initial speed, but because of the gravitational force, the cylinder decelerates and stops after it attains some height. From that maximum height it again rolls down the inclined plane and attains the same speed with which it started the motion as it reaches the bottom of the inclined plane. Step 2 of 4 The position vs. time sketch is given below,