A cartoon coyote sets out to capture the elusive road-runner by wearing a pair of ACME jet-powered roller skates, which provide a constant horizontal acceleration of 10 m/s^2. The coyote starts off at rest 100 m from the edge of a cliff at the instant the road-runner zips past him in the direction of the cliff.
(a) If the road-runner moves with constant speed, what is the minimum speed the road-runner must have in order to reach the cliff before the coyote?
(b) At the edge of the cliff the road-runner escapes by making a sudden turn, and the coyote continues straight off the cliff. If the cliff is 200 m above the ground, where does the coyote land, assuming that his skates remain horizontal and continue to work while in flight?
(c) What are the components of the coyote's impact velocity?