P1.20 A baseball, with m = 145 g, is thrown directly upward from the initial position z = 0 and V = 45 m/s. The air drag on the ball is CV², as in Prob. 1.19, where C = 0.0013 N · s/m?. Set up a differential equation for the ball motion, and solve for the instantaneous velocity V(t) and position z(1). Find the maximum height zmax reached by the ball, and compare your results with the classical case of zero air drag.

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Chapter5: Analysis Of Convection Heat Transfer
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P1.20 A baseball, with m = 145 g, is thrown directly upward from
the initial position z = 0 and Vo = 45 m/s. The air drag on
the ball is CV², as in Prob. 1.19, where C~ 0.0013 N:
s*/m". Set up a differential equation for the ball motion, and
solve for the instantaneous velocity V(t) and position z(1).
Find the maximum height zmax reached by the ball, and
compare your results with the classical case of zero air drag.
Transcribed Image Text:P1.20 A baseball, with m = 145 g, is thrown directly upward from the initial position z = 0 and Vo = 45 m/s. The air drag on the ball is CV², as in Prob. 1.19, where C~ 0.0013 N: s*/m". Set up a differential equation for the ball motion, and solve for the instantaneous velocity V(t) and position z(1). Find the maximum height zmax reached by the ball, and compare your results with the classical case of zero air drag.
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