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A cheetah can run at 105 ft/s, but only for 7 seconds. The cheetah is at...

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A cheetah can run at 105 ft/s, but only for 7 seconds. Thecheetah is at (0,0) when it sees an antelope which is movingaccoording to the parametric equation (x,y)= (-39+40t , 228+30t),where t is in seconds and (x,y) are measured in feet. If thecheetah started to run at t=0 it could catch the antelope. How manyseconds can the cheetah afford to wait before starting? Assume thatthe cheetah does not change direction when it runs.

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3.8 Ratings (745 Votes)
Givent hat cheetah can run at 105 fts but only for 7secondsSo within 7 seconds it has to catch the antelope Cheetah runsin a straight line without changing the directionWe have the coordinate for antelope run xy 3940t 22830tat t0 cheetah at 00 and    See Answer
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