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Solved: The Longest Home Run. According to Guinness World
Chapter 3, Problem 59P(choose chapter or problem)
The Longest Home Run. 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.
(a) Assuming the ball’s initial velocity was in a direction \(45^{\circ}\) above the horizontal and ignoring air resistance, what did the initial speed of the ball need to be to produce such a home run if the ball was hit at a point 0.9 m (3.0 ft) above ground level? Assume that the ground was perfectly flat.
(b) How far would the ball be above a fence 3.0 m (10 ft) high if the fence was 116 m (380 ft) from home plate?
Questions & Answers
QUESTION:
The Longest Home Run. 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.
(a) Assuming the ball’s initial velocity was in a direction \(45^{\circ}\) above the horizontal and ignoring air resistance, what did the initial speed of the ball need to be to produce such a home run if the ball was hit at a point 0.9 m (3.0 ft) above ground level? Assume that the ground was perfectly flat.
(b) How far would the ball be above a fence 3.0 m (10 ft) high if the fence was 116 m (380 ft) from home plate?
ANSWER:Step 1 of 3
Range of the projectile (x)= 188 m
= 45°
(a)
To found initial velocity
The ball is hit 0.9 m above the ground level
Horizontal component of velocity
=
Vertical component of velocity
=
Formula
y = -
-0.9 = -
------(1)
y is above the ground level