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A lion is stalking an antelope that is running at a speed of 7m/s. At the moment the antelope passes the lion, she gives chase and accelerates at a rate of 5m/s^2. How long will …
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A lion is stalking an antelope that is running at a speed of 7m/s. At the moment the antelope passes the lion, she gives chase and accelerates at a rate of 5m/s^2. How long will …
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Mar 12, 2017
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a lion is stalking an antelope that is running at a speed of 7m/s. At the moment the antelope passes the lion, she gives chase and accelerates at a rate of 5m/s^2. How long will it take the lion to catch up to the antelope?
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Mike Mertsock
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Antelope: uniform motion => V = d/t => d = Vt = 7m/s * t
Lion: uniformly accelerated motion, with initial velocity = 0 => d = [1/2]a*t^2 = [1/2]*[5m/s^2]*t^2
7*t = 2.5*t^2=> 2.5t^2 - 7t =0 => t(2.5t - 7) = 0
2.5t - 7 = 0 => t = 7/2.5 = 2.8 m/s^2
Alessandro Dentella
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Mar 16, 2017
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