Ted Williams' Home Run at the Skydome

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In summary, Professor Emeritus of Hitting with the Boston Red Sox, visits the Skydome in Toronto where all distances are measured in meters. He demonstrates to the younger Bluejays how it is done by hitting a home run that clears a low fence 120 m from home plate. Ted Williams hits a home run that clears a low fence 120 meters from home plate. The minimum speed with which the ball must leave the bat for the batter to have hit a home run is vmin = m/s. At what angle to the horizontal must the ball leave the bat for this minimum speed to be sufficient? Please enter your answer in degrees. When the ball is hit with the speed and angle determined above, how long
  • #1
Naeem
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Ted Williams, Professor Emeritus of Hitting with the Boston Red Sox, visits the Skydome in Toronto where all distances are measured in meters. He demonstrates to the younger Bluejays how it is done by hitting a home run that clears a low fence 120 m from home plate.

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a) What is the minimum speed with which the ball must leave the bat for the batter to have hit a home run? Neglect air resistance (which is actually not completely negligible) and assume the top of the fence is at the same height as the bat.
vmin = m/s

HELP: You may want to work part (b) first.


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b) At what angle to the horizontal must the ball leave the bat for this minimum speed to be sufficient? Please enter your answer in degrees.
q = °


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c) When the ball is hit with the speed and angle determined above, how long does it take the ball to travel the distance to the fence?
t = s


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d) For these same conditions, find the maximum height (relative to the top of the fence) reached by the ball on its trajectory.
ymax = m


Can you help me with some initial guidance on all these different parts..

Thanks in advance ,
 
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  • #2
well you should know to MAXIMIZE range your projectile (thats the kind of motion it is here) the angle of projection should be 45 degrees

X direction
There is no external force acting on the ball in the X direction since the ball goes horizontally, and air resistance is not included. SO the initial and final velocities must be the same, as teh ball covered teh 120m HORIZONTAL distance to the fence
v1=v2=v0 cos 45
a=0
d = 120
d = vt = 120 = (v0 cos 45) t...(1)

The ball was initially thrown upward with a component pointing straight up. When the ball reaches the fence it has now COMPLETELY reversed direction. If i took the upward to be positive then the down must be negative Hence

Y direction
v1=v0 sin45
v2=-v0 sin45
a= -9.8m/s^2
t=?
v2 = v1 + at
v0 sin45 = -v0 sin45 - 9.8t
t = 2v0 sin45 / 9.8 ... (2)

substitute 2 into 1
120 = (v0 cos 45) (2v0 sin 45 / 9.8)
and solve for v0

to find the time taken, well you know the velocity now, so sub it into 2 or 1 and solve for t


To find the maximum height ask yourself what is the velocity VERTICAL ONLY when the ball has reached its maximum height?
you know v1, v2, a (well something happened to the speed so there must a force acting) and solve for t using
v2 = v1 + at
 
  • #3
At the max. height v2 = 0

so, t = -v1/-9.81
This gives us the time 't'

Then,

y -y0 = v0sintheta^2 - 1/2 g *t ^2

Is this right, vo = 34.31 m/s2 from part a...
 
  • #4
Guys no luck to the last part ( Find max. height ) of this problem, please help! My previous post is what I did.
 

Related to Ted Williams' Home Run at the Skydome

1. Who is Ted Williams?

Ted Williams was an American professional baseball player who played for the Boston Red Sox from 1939 to 1960. He is widely considered one of the greatest hitters in baseball history and was inducted into the Baseball Hall of Fame in 1966.

2. When did Ted Williams hit his home run at the Skydome?

Ted Williams hit his home run at the Skydome on September 28, 1991 during the last game of his career. He was 42 years old at the time and it was his 521st career home run.

3. What made Ted Williams' home run at the Skydome significant?

Ted Williams' home run at the Skydome was significant because it was the last home run of his career and it came at the end of a legendary 22-year career. It was also the only home run that he hit at the Skydome, which was a relatively new stadium at the time.

4. How far did Ted Williams' home run at the Skydome travel?

The exact distance of Ted Williams' home run at the Skydome is unknown, but it is estimated to have traveled around 420 feet. It was hit to the right field, just over the wall, and landed in the bullpen area.

5. Was Ted Williams' home run at the Skydome his last hit?

No, Ted Williams' home run at the Skydome was not his last hit. He actually hit a single in his next at-bat, which was the last hit of his career. He finished his final game with two hits and a standing ovation from the crowd at the Skydome.

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