Assuming p = 1 and g = 9.8 m/s, the equation v' = g - v...
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Assuming p = 1 and g = 9.8 m/s², the equation v' = g - v has solution m v(t) mg k = + Ce-t A man drops from a high flying plane and falls for 5 seconds before opening his parachute. With the parachute closed, = 1 sec-¹. (a) Find the man's velocity when he opens his parachute (use the initial condition v (0) = 0 to find the value of the constant C). (b) After the chute opens, what must the value of be to get his terminal velocity down to 5 mph? (Use 1 m/sec≈ 2.237 mph.) Assume he has a very long way to fall. Assuming p = 1 and g = 9.8 m/s², the equation v' = g - v has solution m v(t) mg k = + Ce-t A man drops from a high flying plane and falls for 5 seconds before opening his parachute. With the parachute closed, = 1 sec-¹. (a) Find the man's velocity when he opens his parachute (use the initial condition v (0) = 0 to find the value of the constant C). (b) After the chute opens, what must the value of be to get his terminal velocity down to 5 mph? (Use 1 m/sec≈ 2.237 mph.) Assume he has a very long way to fall.
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
Posted Date:
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