4. A 1-kg cannon ball is launched with an initial velocity of 40 m/s into a 20-m/s headwind. The aerodynamic drag force, in Newtons, acting on the cannon ball during its flight is Fɔ = -0.5v. The resulting acceleration, in m/s³, of the cannon ball due to this headwind and drag is a=-(10+0.5v, )i-(9.81+0.5v,)j where the components of velocity are in m/s. Determine the time of flight of the cannon ball.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter8: Momentum And Collisions
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4. A 1-kg cannon ball is launched with an initial velocity of 40 m/s into a 20-m/s headwind. The
aerodynamic drag force, in Newtons, acting on the cannon ball during its flight is FD = -0.5v. The
resulting acceleration, in m/s², of the cannon ball due to this headwind and drag is
a=-(10+0.5v, )i-(9.81+0.5v,)j
where the components of velocity are in m/s. Determine the time of flight of the cannon ball.
20 m/s
40 m/s
30°
Page
Transcribed Image Text:4. A 1-kg cannon ball is launched with an initial velocity of 40 m/s into a 20-m/s headwind. The aerodynamic drag force, in Newtons, acting on the cannon ball during its flight is FD = -0.5v. The resulting acceleration, in m/s², of the cannon ball due to this headwind and drag is a=-(10+0.5v, )i-(9.81+0.5v,)j where the components of velocity are in m/s. Determine the time of flight of the cannon ball. 20 m/s 40 m/s 30° Page
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