At major league baseball games it is commonplace to flash on the scoreboard a sp

Question

At major league baseball games it is commonplace to flash on the scoreboard a speed for each pitch. This speed is determined with a radar gun aimed by an operator positioned behind home plate. The gun uses the Doppler shift of microwaves reflected from the baseball, as we will study in a later chapter. The gun determines the speed at some particular point on the baseball's path, depending on when the operator pulls the trigger. Because the ball is subject to a drag force due to air, it slows as it travels 18.44 m toward the plate. Use the equation below to find how much its speed decreases.

with

the last time i asked this question the person said V=0 i know that isn't correct

Explanation / Answer

the drag coefficient D = 0.305,

cross-sec area A = 4.20*10-3,

mass of the ball m = 0.145kg

k = (0.305)*(4.20*10-3)/0.145

k = 8.834*10^-3

V = V0*e^-k*x

V = (38.7 m/s)*e^(-8.834*10^-3)*(18.44m)

V = 372.882 m/s

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