The determined Wile E. Coyote is out once more to try to capture the elusive roa

Question

The determined Wile E. Coyote is out once more to try to capture the elusive roadrunner. The coyote wears a new pair of Acme power roller skates, which provide a constant horizontal acceleration of 15 m/s^2. The coyote starts off at rest 70m 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 in order to reach the cliff before the coyote. ____m/s

B) If the cliff is 100m above the base of a canyon, find where the coyote lands in the canyon. (Assume that his skates are still in operation when he is in "flight" and that his horizontal component of acceleration remains constant at 15m/s^2.

Explanation / Answer

letting down be the positive direction, analyse vertical motion y = ½gt² t = sqrt(2y/g) [range] letting forward be the positive direction, analyse horizontal motion x = ½at² x = ½a(2y/g) x = ay/g

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