The determined Wile E. Coyote is out once more to try to capture the elusive roa
ID: 1671730 • Letter: T
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. ____m from the base I don't need answers, but I do need help on how to get there.Explanation / Answer
a) Coyote reaches cliff in time T 70 = 1/2 * 15*T^2 T = sqrt(28/3) In that time the road runner travels 70 m therefore runner's speed = 70 / T = 22.9 m/s b) The coyote's speed at the cliff is v = aT = 45.8 m/s From this point he hits the ground in time T2: 100 = 1/2 *g * T2^2 T2 = 4.51 sec Horizontal distance during this time x = 45.8*T2 + 1/2 * 15*T2^2 = 359.8 m He lands 359.8 m from the cliff