Question #2260

In baseball, when a pitcher throws a ball, at what point does it reach it's fastest speed? Is it the instant it leaves his hand? Or is it some other point?

Expert's answer

System of equations that describe the movement of ball:

x = V_{0x} t = V_{0} cosα*t

y = V_{0y} t-g t^{2}/2 = V_{0} sinα*t - g t^{2}/2

V_{x} = V_{0x }= V_{0} cosα

V_{y} = V_{0y} - gt = V_{0} sinα - gt

V = √(V_{x}^{2} + V_{y}^{2} )

As we see V_{y} decrease with time. So the magnitude of velocity also decrease. Velocity is maximum at t=0 and equals V_{0}.

x = V

y = V

V

V

V = √(V

As we see V

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