A batter hits the baseball A with an initial velocity of vo= 100[ft/s] directly toward fielder B. In the instant just after the batter hits the ball, the ball leaves at an angle of 30° to the horizontal; the initial position of the ball is 3 [ft] above ground level. Fielder B's initial location is shown in the figure below. This fielder requires - sec to judge where the ball should be caught and then begins moving to that catch position with constant speed. Because of great experience, fielder B chooses his running speed so that he arrives at the "catch position" simultaneously with the baseball. The catch position is observed at the baseball altitude of 7 [ft] from the ground. Neglect air friction and determine the following: 4 a) In the instant when the baseball A just leaves away from the bat at velocity vo (shown), draw the unit vectors û, and ûn. What is the tangential acceleration of A at this instant? Also, calculate the radius of curvature p at this instant. b) c) d) What is the total flight time of the baseball? What is the VELOCITY of the ball A and also the VELOCITY of fielder B at the instant the catch is performed. What is the VELOCITY and ACCELERATION of the ball relative to the fielder at the instant the catch is made. VO 3′ 30° 220' x B
A batter hits the baseball A with an initial velocity of vo= 100[ft/s] directly toward fielder B. In the instant just after the batter hits the ball, the ball leaves at an angle of 30° to the horizontal; the initial position of the ball is 3 [ft] above ground level. Fielder B's initial location is shown in the figure below. This fielder requires - sec to judge where the ball should be caught and then begins moving to that catch position with constant speed. Because of great experience, fielder B chooses his running speed so that he arrives at the "catch position" simultaneously with the baseball. The catch position is observed at the baseball altitude of 7 [ft] from the ground. Neglect air friction and determine the following: 4 a) In the instant when the baseball A just leaves away from the bat at velocity vo (shown), draw the unit vectors û, and ûn. What is the tangential acceleration of A at this instant? Also, calculate the radius of curvature p at this instant. b) c) d) What is the total flight time of the baseball? What is the VELOCITY of the ball A and also the VELOCITY of fielder B at the instant the catch is performed. What is the VELOCITY and ACCELERATION of the ball relative to the fielder at the instant the catch is made. VO 3′ 30° 220' x B
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
![A batter hits the baseball A with an initial velocity of vo = 100[ft/s] directly toward fielder
B. In the instant just after the batter hits the ball, the ball leaves at an angle of 30° to the
horizontal; the initial position of the ball is 3 [ft] above ground level. Fielder B's initial location
is shown in the figure below. This fielder requires sec to judge where the ball should be caught
and then begins moving to that catch position with constant speed. Because of great experience,
fielder B chooses his running speed so that he arrives at the "catch position" simultaneously with
the baseball. The catch position is observed at the baseball altitude of 7 [ft] from the ground.
Neglect air friction and determine the following:
a)
In the instant when the baseball A just leaves away from the bat at velocity vo (shown), draw
the unit vectors û, and ûn. What is the tangential acceleration of A at this instant? Also,
calculate the radius of curvature p at this instant.
What is the total flight time of the baseball?
What is the VELOCITY of the ball A and also the VELOCITY of fielder B at the instant
the catch is performed.
b)
c)
d)
What is the VELOCITY and ACCELERATION of the ball relative to the fielder at the
instant the catch is made.
VO
3'
30⁰
220'
x
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F418fd126-7f9b-4db4-a312-2e5f96462821%2F25068506-96f4-4a8e-a113-a84a2d5212cf%2F0ee2b6g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A batter hits the baseball A with an initial velocity of vo = 100[ft/s] directly toward fielder
B. In the instant just after the batter hits the ball, the ball leaves at an angle of 30° to the
horizontal; the initial position of the ball is 3 [ft] above ground level. Fielder B's initial location
is shown in the figure below. This fielder requires sec to judge where the ball should be caught
and then begins moving to that catch position with constant speed. Because of great experience,
fielder B chooses his running speed so that he arrives at the "catch position" simultaneously with
the baseball. The catch position is observed at the baseball altitude of 7 [ft] from the ground.
Neglect air friction and determine the following:
a)
In the instant when the baseball A just leaves away from the bat at velocity vo (shown), draw
the unit vectors û, and ûn. What is the tangential acceleration of A at this instant? Also,
calculate the radius of curvature p at this instant.
What is the total flight time of the baseball?
What is the VELOCITY of the ball A and also the VELOCITY of fielder B at the instant
the catch is performed.
b)
c)
d)
What is the VELOCITY and ACCELERATION of the ball relative to the fielder at the
instant the catch is made.
VO
3'
30⁰
220'
x
B
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