Professional Baseball Hitting Advice
professional baseball hitting advice
Physics problem – Projectile motion?
I have a problem with a homework question I could use some advice with:
“A hallway is 40 m long and 3 m high. Could a professional baseball pitcher throw a ball from one end to the other before the ball hits the ground?”
There is a hint that goes with it that says to estimate a release height for the ball (I estimated 1.5 m). Determine the best angle to throw the ball at so that it just skims the celing. Then calculate the velocity needed in order for the ball to hit the floor just as it reached the wall 40 m away.
I can’t really make heads or tails of this, even with the hint. Any help would be appreciated.
The range, height and time are related by
R tan θ = 4H = gT^2/2
The maximum height, the ball can go up 3m.
The range is 40m
tan θ = 4 H/R = 4*3/40= 0.3 and hence θ = 18.55˚
T^2 = 8H/g = 24/9.8 and hence T = 1.57 s.
If u is the velocity, then u = R/cos θ = 40 / cos18.55
and hence U = 41.76 m/s
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Filed under .Baseball Batting Tips by on Dec 2nd, 2008. 