Solving for the Vertical Distance of a 101 mph Pitch

[toothpick09]

Homework Statement

One of the fastest recorded pitches in major-league baseball, thrown by Billy Wagner in 2003, was clocked at 101.0 mi/h (Fig. P3.22). If a pitch were thrown horizontally with this velocity, how far would the ball fall vertically (in feet) by the time it reached home plate, 60.5 ft away?

Homework Equations

t impact = 2 * (vo/g) sin theta

The Attempt at a Solution

2 * (9.21404m (60.5ft)/9.8m/s2) sin(90) = 1.88042 m

1.88042 m * 3.281 ft = 6.16965 ft

what am i doing wrong?

 

[hage567]

For one thing, it looks like you are mixing ft and meters. What is the 9.21404 m supposed to be?

Your formula is for "t impact", but you stated the answer in meters?? I think you have confused things. I don't think your formula is correct, either. Can you show how you got it?