A tennis ball is dropped from shoulder height of 1.5 m and bounces twice before it is caught. Assume that mechanical energy is conserved in this situation. Consider the time interval from the drop until the ball hits the ground for the second time. Use a +y-axis that is vertical and positive upwards, starting with zero at the ground. Sketch the following graphs, explaining their features: (i) Position as a function of time, clearly showing the positions of the bounces. (ii) Velocity in the vertical direction as a function of time, clearly showing the velocity before and after each bounce. (iii) Acceleration in the vertical direction as a function of time, clearly showing the acceleration during the time interval involved