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Knuckleballer R. A. Dickey throws a baseball towards a batter from a height of 2

ID: 2283831 • Letter: K

Question

Knuckleballer R. A. Dickey throws a baseball towards a batter from a height of 2.10 m off the ground; the batter is 17.5 m away (horizontally) from the release point. The ball arrives .700s later at a spot in front of the batter 70.0cm off the ground. Ignore air resistance. a) what was the initial velocity of the ball( magnitude and direction)? b) if thee wee no gravity, at what angle would the pitch have to be thrown? Knuckleballer R. A. Dickey throws a baseball towards a batter from a height of 2.10 m off the ground; the batter is 17.5 m away (horizontally) from the release point. The ball arrives .700s later at a spot in front of the batter 70.0cm off the ground. Ignore air resistance. a) what was the initial velocity of the ball( magnitude and direction)? b) if thee wee no gravity, at what angle would the pitch have to be thrown? a) what was the initial velocity of the ball( magnitude and direction)? b) if thee wee no gravity, at what angle would the pitch have to be thrown?

Explanation / Answer

?h = -1.40 m
Vx = 17.5/0.7 = 25.00 m/sec
g effect = -4.9*t^2 = -4.9*0.49 = -2,40 m
Vy*t = -1.40+2.40 = 1.00 m
Vy = 1/t = 1/0.7 = 1.43 m/sec
V = ?1.43^2+25^2 = 25.04 m/sec
? = arctan 1.43/25 = 3.27