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Pitch Physics to Your Students: Using PITCHf/x Data from Major League Basbeball - page 25 / 30

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An Example

Problem 5: Batters describe the effect of spin on the ball as the “break.” One way to analytically define the break is the difference between where the ball actually arrives and where is would have arrived only feeling gravity. Find the break along the x and z directions.

The actual x and z positions are in the data table.

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

t40 = 0.08197s

x40 = 1.152ft

vx40 = -5.706ft/s

z40 = 6.069ft

vz40 = -7.159ft/s

t = 0.4127s

th = 0.3307s

xnoair = -0.735ft

znoair = 1.942ft

px = -0.012ft

pz = 2.743ft

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