C4/69 A cameraman on a pickup truck is traveling westward at 17 km/h while he vi
ID: 1403123 • Letter: C
Question
C4/69
A cameraman on a pickup truck is traveling westward at 17 km/h while he videotapes a cheetah that is moving westward 36 km/h faster than the truck. Suddenly, the cheetah stops, turns, and then run at 44 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 1.7 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
in cameraman perspective
initial speed of the cheetah = 36 km/h or 10 m/s
final speed of the cheetah = 44 + 17
final speed of the cheetah = 61 km/h or 16.9444
acceleration = change in speed / time
acceleration = 16.9444 - 10 / 1.7
acceleration = 4.085 m/s^2
animal’s acceleration according to the cameraman = 4.085 m/s^2
direction = eastward
in crew perspective
initial speed of the cheetah = 17 + 36
initial speed of the cheetah = 53 km/h or 14.7222 m/s
final speed of the cheetah = 44 km/h or 12.22 m/s
acceleration = change in speed / time
acceleration = 14.7222 - 12.22 / 1.7
acceleration = 1.307 m/s^2
animal’s acceleration according to the crew menbers = 1.472 m/s^2
direction = eastward
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