2022-02-18
Answered

The determined Wile E. Coyote is out once more to try to capture the elusive roadrunner. The coyote wears a new pair of power roller skates, which provide a constant horizontal acceleration of 15 m/s2, as shown in Figure P3.73. The coyote starts off at rest 70 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 100 m above the base of a canyon, find where the coyote lands in the canyon. (Assume his skates are still in operation when he is in “flight” and that his horizontal component of acceleration remains constant at 15 m/s2.)

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Vasquez

Answered 2022-03-12
Author has **460** answers

(a) Derive the expression for the minimum time required for the coyote to travel a distance of

The distance travelled by the coyote is,

Here

The initial velocity og the coyote is zero.

Substitute

The roadrunner is moving with a constant speed. Hence, the minimum speed to reach the cliff is as follows.

Substitute

Substitute

Hence, the required minimum speed of the roadrunner is

b) The initial velocity of the coyote when it goes over the cliff is equal to the horizontal velocity.

Substitute

The time taken to cover the vertical height of the cliff is,

Here

Therefore, the horizontal displacement of the fall of the coyote is,

Substitute

Substitute

Hence, the reauired dispplacement is

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