Problem 2. Consider a curving water slide which you can consider as frictionless. You may assume that the top of the water slide is a distance h above the ground.

Two children are initially at rest at the top of the slide. The larger child slides down the slide into the water. The smaller child falls into the water without going down the slide. Assume this motion is one-dimensional. (a) Just before hitting the water, is the kinetic energy of the smaller child (i) greater than, (ii) less than or (iii) the same as that of the larger child? Explain. (b) Same choices as in (a) but this time compare their speeds just before hitting the water. Explain. (c) Now compare the magnitudes of their average accelerations during the entire time it takes to fall (same choices as before). Explain.(d) Are their velocities the same just before hitting the water? Explain.