Answer to Question #2260 in Mechanics | Relativity for Ryan Rigby

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?
1
Expert's answer
2011-06-22T08:04:58-0400
System of equations that describe the movement of ball:
x = V0x t = V0 cosα*t
y = V0y t-g t2/2 = V0 sinα*t - g t2/2

Vx = V0x = V0 cosα
Vy = V0y - gt = V0 sinα - gt

V = √(Vx2 + Vy2 )
As we see Vy decrease with time. So the magnitude of velocity also decrease. Velocity is maximum at t=0 and equals V0.

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