The maximum horizontal distance a certain baseball player can hit a baseball is

Question

The maximum horizontal distance a certain baseball player can hit a baseball is 150 m. On one particular pitch the player hit the ball in such away that has the initial speed as his maximum-distance list but the ball makes an angle of 20 degree with the horizontal. a) Where will the ball strike the ground with respect to home plate? b) How long will the ball be in the air after being hit by the bat? An astronaut on a strange planer finds she can jump a maximum distance of 30m if her initial speed is 9m/s. a) What is the acceleration of gravity on the strange planet? b) How for could she jump on earth?

Explanation / Answer

3. R_max = 150 m

R_max is when theta = 45 deg

and R_max= v^2 / g

150 = v^2 / 9.8

v = 38.3 m/s

(A) R = v^2 sin(2*theta) / g

R = (38.2^2) sin(40) / 9.8

R = 96.4 m

(B) t = 2 v sin(theta) / g

t = 2 x 38.3 x sin(20) / 9.8

t = 2.67 sec

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