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Pitch Physics to Your Students: Using PITCHf/x Data from Major League Basbeball - page 20 / 30

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An Example

Problem 2: Find the components of the final velocity of the pitch when it reaches the front of home plate (y=1.417ft).

The final speed is the magnitude of the final velocity vector.  Taking the square root of the sum of the squares,

xo = 1.664ft

yo = 50.00ft

zo = 6.597ft

vxo = -6.791ft/s

vyo = -123.055ft/s

vzo = -5.721ft/s

ax = 13.233ft/s2

ay = 25.802ft/s2

az = -17.540ft/s2

vx = -1.330ft/s

vy = -112.408ft/s

vz = -12.960ft/s

t = 0.4127s

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