1. (12 points) A rock is shot vertically up with initial velocity 176, just outside the rim of a cliff of height H, as shown below. The very moment the rock is shot, a beetle, initially at rest on the rim of the cliff, starts moving towards the ground with constant acceleration. The beetle and the rock hit the ground at the same instant. [Ignore air resistance. The solution to the quadratic equation aw2+bx+c=0 ism: 'bi Elf4\"] Ball Insect: starts at rest and accelerates downward (a) (6 points) What's the beetle's acceleration's magnitude? Express your answer in terms of the known constants H, '00, and g (the gravitational acceleration). (b) (4 points) Sketch plots of the vertical position y and vertical velocity 11y vs. time. On each plot the motion of both the rock and beetle should be shown. (c) (2 points) Does the rock or the beetle have a larger speed as they reach the ground? Briey explain