Question

In a scene from a classic cartoon, a hungry coyote is chasing a roadrunner, as shown in the figure below. To aid in his quest, he has donned a pair of ACME brand rocket-propelled roller skates. The skates accelerate the coyote at 17.0 m/s2 in the horizontal direction. The roadrunner is moving at a constant speed toward a cliff. The coyote is initially at rest 60.0 m from the cliff at the instant the roadrunner moves past him. (In all questions below, assume right is the positive x-direction and up is the positive y-direction. Also assume you can apply real-world physics principles, as opposed to cartoon physics.) BEEP BEEP (a) What minimum constant speed (in m/s) must the roadrunner have to reach the cliff before the coyote does? m/s

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Answer #1

Solution,

Using 2nd equation of motion,

d = ut + 0.5 at^2

60 = 0 + 0.5 x 17 x t^2

Time, t = 2.66 sec

Velocity, v = d/t = 60/2.66 = 22.58 m/s

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