Question

3. Throughout the 2017/2018 season, Mookie Betts hit 32 home runs, many of which were hit over the green monster (The left field wall in Fenway park). The green monster has a height of 11.3m and is a distance of 94.5m from home plate. Assuming the ball starts from a height of 1m off the ground when hit, and that it is launched at an angle of 45o

(a) What is the initial velocity of the ball so that it just makes it over the green monster? (in other words, the vertical and horizontal position of the ball is 11.3m and 94.5m, respectively when it reaches the wall).

(b) What is the maximum height reached by the ball relative to the ground?

Answer 1

b) H_max for a projectile is given by,

H = v_o² Sin²/2g = 32.3²Sin45^o2/2*9.81

= 26.5 m

The maximum height reached by the ball relative to the ground,

H_max = H + 1 = 27.5 m

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