A player pitches a baseball horizontally toward aspeed-sensing radar gun. The baseball
Chapter 3, Problem 3/29(choose chapter or problem)
A player pitches a baseball horizontally toward a speed-sensing radar gun. The baseball weighs \(5 \frac{1}{8} \mathrm{oz}\) and has a circumference of \(9 \frac{1}{8}\) in. If the speed at x= 0 is \(v_0=90 \mathrm{mi} / \mathrm{hr}\), estimate the speed as a function of x. Assume that the horizontal aerodynamic drag on the baseball is given by \(D=C_D\left(\frac{1}{2} \rho v^2\right) S\), where \(C_D\) is the drag coefficient, \(\rho\) is the air density, v is the speed, and S is the cross-sectional area of the baseball. Use a value of 0.3 for \(C_D\). Neglect the vertical component of the motion but comment on the validity of this assumption. Evaluate your answer for \(x=60 \mathrm{ft}\), which is the approximate distance between a pitcher's hand and home plate.
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