Enhanced E00! ProBleIIl J.J Constants According to the Guinness Book of World Re

Question

Enhanced E00! ProBleIIl J.J Constants According to the Guinness Book of World Records, the longest home run ever measured was hit by Roy "Dizzy" Carlyle in a minor league game. The ball traveled 188 m (618 ft) before landing on the ground outside the ballpark. You may want to review (Page) For help with math skills, you may want to review: Solving Quadratic Equations Vector Magnitudes Resolving Vector Components For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of A batted baseball.

Explanation / Answer

Given,

D = 188 m ; theta = 57 deg ; h = 0.9 m

vx = v cos57

vy = v sin57

We know that

R = vx t => t = R/vx

R = 188/v cos57

from eqn of motion

S = ut + 1/2 at^2

0 = v sin57 x 188/v cos57 - 0.5 x 9.8 x (188/ v cos57)^2 + 0.9

0.9 = -4.9(188/ v cos57)^2 + 188

38.55 = (188/v cos57)^2

188/v cos57 = 6.21

v = 188/(6.21 x cos57) = 55.58 m/s

Hence, v = 55.58 m/s

b)t = 188/55.6 x cos57 = 6.21 s

S = 0.5 x -9.8 x 6.21^2 + 55.6 x sin57 x 6.21 + 0.9 = 101.5 m

d = 101.51 - 3 = 98.51 m

Hence, d = 98.51 m

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