The determined Wile E. Coyote is out once more to try to capture the elusive roadrunner. The coyote wears a new pair of Acme powered roller-skates, which provide a constant horizontal acceleration of 13 m/s2. The coyote starts off at rest 50 m from the edge of a cliff at the instant the roadrunner zips by in the direction of the cliff.
a) If the roadrunner moves with constant speed, find the minimum speed the roadrunner must have to reach the cliff before the coyote.
b) If the cliff is 140 m above the base of the canyon, find where the coyote lands in the canyon. Assume his skates are still in operation while he is in "flight" and that his horizontal component of acceleration remains constant.
(horizontally from the edge of the cliff)
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