The left field wall at a baseball park is 320 feet down the third base line from home plate; the wall itself is 37 feet high. A batted ball must clear the wall to be a home run. Suppose a ball leaves the bat, 3 feet off the ground, at an angle of 45°. Use g= 32 ft/sec as the acceleration due to gravity and ignore any air resistance. Complete parts (a) through (d). (a) Find parametric equations that model the position of the ball as a function of time. Choose the correct answer below. x= (Vo cos 45) t, y = - 16t (Vo sin 45) t+ 3 x= (Vo sin 45)t, y = 16t - (Vo cos 45) t+3 x= (Vo cos 45) t, y = - 32t + (vo sin 45) t+ 3 x= (Vo sin 45) t, y = 32t - (Vo cos 45)t+3 (b) What is the maximum height of the ball if it leaves the bat with a speed of 75 miles per hour? Give your answer in feet. The maximum height of the ball is feet. (Type an integer or decimal rounded to two decimal places as needed.) (c) What is the ball's horizontal distance from home plate at its maximum height? Give your answer in feet. At its maximum height, the ball's horizontal distance is feet from home plate. (Type an integer or decimal rounded to two decimal places as needed.) (d) If the ball is hit straight down the third base line, will it clear the wall? If it does, by how many feet does it clear the wall? O A. Yes, the ball clears the wall by feet. O B. No, the ball does not clear the wall.
The left field wall at a baseball park is 320 feet down the third base line from home plate; the wall itself is 37 feet high. A batted ball must clear the wall to be a home run. Suppose a ball leaves the bat, 3 feet off the ground, at an angle of 45°. Use g= 32 ft/sec as the acceleration due to gravity and ignore any air resistance. Complete parts (a) through (d). (a) Find parametric equations that model the position of the ball as a function of time. Choose the correct answer below. x= (Vo cos 45) t, y = - 16t (Vo sin 45) t+ 3 x= (Vo sin 45)t, y = 16t - (Vo cos 45) t+3 x= (Vo cos 45) t, y = - 32t + (vo sin 45) t+ 3 x= (Vo sin 45) t, y = 32t - (Vo cos 45)t+3 (b) What is the maximum height of the ball if it leaves the bat with a speed of 75 miles per hour? Give your answer in feet. The maximum height of the ball is feet. (Type an integer or decimal rounded to two decimal places as needed.) (c) What is the ball's horizontal distance from home plate at its maximum height? Give your answer in feet. At its maximum height, the ball's horizontal distance is feet from home plate. (Type an integer or decimal rounded to two decimal places as needed.) (d) If the ball is hit straight down the third base line, will it clear the wall? If it does, by how many feet does it clear the wall? O A. Yes, the ball clears the wall by feet. O B. No, the ball does not clear the wall.
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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Transcribed Image Text:The left field wall at a baseball park is 320 feet down the third base line from home plate; the wall itself is 37 feet high. A batted ball must clear the wall to be a home run. Suppose a ball leaves the bat,
3 feet off the ground, at an angle of 45°. Use g = 32 ft/sec as the acceleration due to gravity and ignore any air resistance. Complete parts (a) through (d).
(a) Find parametric equations that model the position of the ball as a function of time. Choose the correct answer below.
x= (Vo cos 45) t, y = - 16t + (Vo sin 45) t+3
x= (Vo sin 45) t, y = 16t - (Vo cos 45) t+ 3
x= (Vo cos 45) t, y = - 32t + (Vo sin 45)t+3
x= (Vo sin 45) t, y = 32t - (vo cos 45)t+3
(b) What is the maximum height of the ball if it leaves the bat with a speed of 75 miles per hour? Give your answer in feet.
The maximum height of the ball is feet.
(Type an integer or decimal rounded to two decimal places as needed.)
(c) What is the ball's horizontal distance from home plate at its maximum height? Give your answer in feet.
At its maximum height, the ball's horizontal distance is
feet from home plate.
(Type an integer or decimal rounded to two decimal places as needed.)
(d) If the ball is hit straight down the third base line, will it clear the wall? If it does, by how many feet does it clear the wall?
O A. Yes, the ball clears the wall by
feet.
O B. No, the ball does not clear the wall.
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