Physic problem:
The determined coyote is out once more in pursuit of the elusive roadrunner. The coyote wears a pair of acme jet powered roller skates, which provide a constant horizontal acceleration of 15 m/s^2. The coyote starts at rest 70m from the brink of a cliff at the instant the roadrunner zips past him in the direction of the cliff.

a) The road runner moves with constant speed. Determine the minimum speed he must have so as to reach the cliff before the coyote.

b) At the edge of the cliff, the roadrunner escapes by making a sudden turn, while the coyote continues straight ahead. The coyote's skates remain horizontal and continue to operate while he is in flight so that his acceleration while in the air is (ax = 15 m/s^2, ay = -9.8 m/s^2). The cliff is 100m above the flat floor of a wide canyon. Determine where the coyote lands in the canyon.

c) Determine the horizontal and vertical (x and y) components of the coyote's impact velocity.