A cheetah can run at a maximum speed 91.0 km/h and a gazelle can run at a maximu

Question

A cheetah can run at a maximum speed 91.0 km/h and a gazelle can run at a maximum speed of 73.0 km/h. Assume both animals are running at full speed, with the gazelle 67.0 m ahead.

a) What is in m/s the velocity of the gazelle relative to the cheetah?

b) What is in m/s the velocity of the cheetah relative to the gazelle?

c) how long in seconds before the cheetah catches its prey?

Knowing that the cheetah can maintain its maximum speed for only 18.8 s. (After 18.8 the speed of cheetah is less than that of the gazelle)

d) What is in meters the minimum distance the gazelle must be ahead of the cheetah to have a chance of escape?

Explanation / Answer

a) Vg/c = Vg - Vc = 73kmph - 91kmph = -18 kmph

b) Vc/g = Vc-Vg = 91-73 = 18kmph

c) 0.067km+ (73kmph xt ) =(91kmph xt)

t = 0.067km/ 18kmph= 3.72x10-3 hrs or 13.4sec

d) d = 18 x 18.8x (1/3600) = 0.094km or 94mts

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