Consider dropping a baseball from rest at an altitude of 300 m. Assume that the baseball has a drag coefficient of 0.3, a mass of 0.145 kg, and a radius of 3.7 cm. a. What is the terminal speed vT of this baseball? b. Calculate the characteristic time tT = vT / |g|. c. Set up the Newton application to model this situation. Let's agree that the ball has essentially reached its terminal velocity when its acceleration falls below |g| / 20. About how long must the baseball fall to reach terminal velocity according to this criterion? Express your answer as a multiple of the characteristic time tT. (Hints: Equation N9.17 might be helpful as you set up the program. A time step of 0.1 seconds works pretty well.) Equation N9.17: az = -|g| * (1 - (vz2 / vT2
Consider dropping a baseball from rest at an altitude of 300 m. Assume that the baseball has a drag coefficient of 0.3, a mass of 0.145 kg, and a radius of 3.7 cm.
a. What is the terminal speed vT of this baseball?
b. Calculate the characteristic time tT = vT / |g|.
c. Set up the Newton application to model this situation. Let's agree that the ball has essentially reached its terminal velocity when its acceleration falls below |g| / 20. About how long must the baseball fall to reach terminal velocity according to this criterion? Express your answer as a multiple of the characteristic time tT. (Hints: Equation N9.17 might be helpful as you set up the program. A time step of 0.1 seconds works pretty well.)
Equation N9.17: az = -|g| * (1 - (vz2 / vT2))
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