A cameraman on a pickup truck is traveling westward at 16 km/h while he videotap

Question

A cameraman on a pickup truck is traveling westward at 16 km/h while he videotapes a cheetah that is moving westward 21 km/h faster than the truck. Suddenly, the cheetah stops, turns, and then run at 47 km/h eastward, as measured by a suddenly nervous crew member who stands alongside the cheetah's path. The change in the animal's velocity takes 2.1 s. What are the (a) magnitude and (b) direction of the animal’s acceleration according to the cameraman and the (c) magnitude and (d) direction according to the nervous crew member?

Explanation / Answer

Intitial Velocity of Cheetah with respect to Cameraman = 21 km/h West

Intitial Velocity of Cheetah with respect to nervous crew member = 21 + 16=37 km/h West

Final Velocity of Cheetah with respect to nervous crew member = 47 km/h East

Intitial Velocity of Cheetah with respect to Cameraman = 47 + 16 = 63 Km/h East

Time is same for both ie 2.1 seconds

a&b. acceleration according to cameraman= (Vf-Vi)/t= 84 Km/hr /2.1 sec = 11.11 m/s2 towards east

c&d acceleration according to nervous crew member = (Vf-Vi)/t= 84 Km/hr /2.1 sec = 11.11 m/s2 towards east

Note acceleration is same for both as change in velocity is same for both.

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