The Green Monster, as shown below, is a wall 37 feet high in left field at Fenway Park in Boston. The wall is 310 feet from home plate down the third base line. If the batter hits the ball 4 feet above the ground, neglecting air resistance, determine the minimum speed that the bat must impart to the ball that is hit over the Green Monster. height above home plate [ft] 200 The equations of motions for the baseball are x(t) = (u cos 0)t and y(t) = y + (u sin 0)t-t2 as depicted in the diagram below. The ball's initial speed is u. The gravitational constant g is 9.8 m/sec². The height at which the ball is struck is yo. 180 The coordinates depict the geometry with the origin at the home plate. The ball is struck at y = 4 ft. The top of the Green Monster, which is 310 feet from home plate, is noted as (310,37). 160 140 120 100 80 60 (0,4) In a well-documented MATLAB script hmwk8Q3.m, using vectorizing methods, plot the five baseball trajectories for the speeds u = 70, 80, 90, 100 and 110 mph. For all cases assume the baseball is hit at an angle 45 degrees with respect to the ground. 3 40 (0,0) Gulf Y CVS 0 SPORTS AUTHORITY WEMASON (310,37) 1 (310,0) COVIDIE Fenway Park Baseball Trajectories in Green Monster Problem 70 mph 80 mph 90 mph 100 mph. monster Page 3
The Green Monster, as shown below, is a wall 37 feet high in left field at Fenway Park in Boston. The wall is 310 feet from home plate down the third base line. If the batter hits the ball 4 feet above the ground, neglecting air resistance, determine the minimum speed that the bat must impart to the ball that is hit over the Green Monster. height above home plate [ft] 200 The equations of motions for the baseball are x(t) = (u cos 0)t and y(t) = y + (u sin 0)t-t2 as depicted in the diagram below. The ball's initial speed is u. The gravitational constant g is 9.8 m/sec². The height at which the ball is struck is yo. 180 The coordinates depict the geometry with the origin at the home plate. The ball is struck at y = 4 ft. The top of the Green Monster, which is 310 feet from home plate, is noted as (310,37). 160 140 120 100 80 60 (0,4) In a well-documented MATLAB script hmwk8Q3.m, using vectorizing methods, plot the five baseball trajectories for the speeds u = 70, 80, 90, 100 and 110 mph. For all cases assume the baseball is hit at an angle 45 degrees with respect to the ground. 3 40 (0,0) Gulf Y CVS 0 SPORTS AUTHORITY WEMASON (310,37) 1 (310,0) COVIDIE Fenway Park Baseball Trajectories in Green Monster Problem 70 mph 80 mph 90 mph 100 mph. monster Page 3
Operations Research : Applications and Algorithms
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![The Green Monster, as shown below, is a wall 37 feet high in left field at Fenway Park in Boston. The wall is 310 feet
from home plate down the third base line. If the batter hits the ball 4 feet above the ground, neglecting air resistance,
determine the minimum speed that the bat must impart to the ball that is hit over the Green Monster.
height above home plate [ft]
200
The equations of motions for the baseball are x(t) = (u cos 0)t and y(t) = y + (u sin 0)t-t² as depicted in the
diagram below. The ball's initial speed is u. The gravitational constant g is 9.8 m/sec². The height at which the ball is
struck is yo.
180
The coordinates depict the geometry with the origin at the home plate. The ball is struck at y = 4 ft. The top of the
Green Monster, which is 310 feet from home plate, is noted as (310,37).
160
140
120
100
80
60
(0,4)
40
(0,0)
Gulf
у
In a well-documented MATLAB script hmwk8Q3.m, using vectorizing methods, plot the five baseball trajectories for the
speeds u = 70, 80, 90, 100 and 110 mph. For all cases assume the baseball is hit at an angle 45 degrees with respect to
the ground.
3
CVS
0
WEMASON
SPORTS
AUTHORITY
(310,37)
(310,0)
+COVIDIE
X
Fenway Park Baseball Trajectories in Green Monster Problem
70 mph
80 mph.
90 mph
100 mph
monster
Page 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94ff38a7-2f9f-48aa-a5f6-f55a721c1ef0%2F6b4034e7-da41-482c-9ae4-510ff45b860e%2F6lg9u4k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The Green Monster, as shown below, is a wall 37 feet high in left field at Fenway Park in Boston. The wall is 310 feet
from home plate down the third base line. If the batter hits the ball 4 feet above the ground, neglecting air resistance,
determine the minimum speed that the bat must impart to the ball that is hit over the Green Monster.
height above home plate [ft]
200
The equations of motions for the baseball are x(t) = (u cos 0)t and y(t) = y + (u sin 0)t-t² as depicted in the
diagram below. The ball's initial speed is u. The gravitational constant g is 9.8 m/sec². The height at which the ball is
struck is yo.
180
The coordinates depict the geometry with the origin at the home plate. The ball is struck at y = 4 ft. The top of the
Green Monster, which is 310 feet from home plate, is noted as (310,37).
160
140
120
100
80
60
(0,4)
40
(0,0)
Gulf
у
In a well-documented MATLAB script hmwk8Q3.m, using vectorizing methods, plot the five baseball trajectories for the
speeds u = 70, 80, 90, 100 and 110 mph. For all cases assume the baseball is hit at an angle 45 degrees with respect to
the ground.
3
CVS
0
WEMASON
SPORTS
AUTHORITY
(310,37)
(310,0)
+COVIDIE
X
Fenway Park Baseball Trajectories in Green Monster Problem
70 mph
80 mph.
90 mph
100 mph
monster
Page 3
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