Question

Aroldis Chapman, relief pitcher for the New York Yankees baseball team, holds the record for the fastest baseball ever thrown. Chapman's record pitch velocity is v0?= 47.0 m/s. Chapman threw a baseball with a velocity of v0? into the outfield at an elevation angle ?=15°. Calculate the h, the maximum altitude of the baseball after Chapman threw it.

Aroldis Chapman, relief pitcher for the New York Yankees baseball team, holds the record for the fastest baseball ever thrown. Chapman's record pitch velocity is v0?= 47.0 m/s. If Chapman had thrown the baseball with a velocity of v0? into the outfield at an elevation angle ?=45°, then calculate its range R.

Answer 1

Given

the velocity (initial) is v0 = 47 m/s

the angle of projection is theta = 15 degrees

the range of the baseball is  

R = v0^2 sin2theta/g

substituting the values

R = 47^2 sin(2*15)/9.8 m

R = 112.70 m

and the time of flight is  

T = 2*v0 sin theta/g

substituting the values

T = 2*47 sin15/9.8 s

T = 2.48255 s

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the angle of projection is 45 degrees the range will be maximum

R = v0^2 sin 2 theta/g

R =47^2 sin(2*45)/9.8 m

R = 225.41 m