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Flight of a baseball A baseball is hit from 3 ft above home plate with an initial velocity in ft/s of v(0) = (uo, vo) = (80, 80). Neglect all forces other than gravity. a. Find the position and velocity of the ball between the time it is hit and the time it first hits the ground. b. Show that the trajectory of the ball is a segment of a parabola. C.Assuming a flat playing field, how far does the ball travel horizontally? Plot the trajectory of the ball. d. What is the maximum height of the ball? e. Does the ball clear a 20-ft fence that is 380 ft from home plate (directly under the path of the ball)

Flight of a baseball A baseball is hit from 3 ft above home plate with an initial velocity in ft/s of v(0) = (uo, vo) = (80, 80). Neglect all forces other than gravity. a. Find the position and velocity of the ball between the time it is hit and the time it first hits the ground. b. Show that the trajectory of the ball is a segment of a parabola. C.Assuming a flat playing field, how far does the ball travel horizontally? Plot the trajectory of the ball. d. What is the maximum height of the ball? e. Does the ball clear a 20-ft fence that is 380 ft from home plate (directly under the path of the ball)

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Write the functions x(t) and y(t) in Example 4 in the case that x0 = 0, y0 = 2,
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Flight of a baseball A baseball is hit from 3 ft above home plate with an initial velocity in ft/s of v(0) = (uo, vo) = (80, 80). Neglect all forces other than gravity. a. Find the position and velocity of the ball between the time it is hit and the time it first hits the ground. b. Show that the trajectory of the ball is a segment of a parabola. C.Assuming a flat playing field, how far does the ball travel horizontally? Plot the trajectory of the ball. d. What is the maximum height of the ball? e. Does the ball clear a 20-ft fence that is 380 ft from home plate (directly under the path of the ball)
Transcribed Image Text:Flight of a baseball A baseball is hit from 3 ft above home plate with an initial velocity in ft/s of v(0) = (uo, vo) = (80, 80). Neglect all forces other than gravity. a. Find the position and velocity of the ball between the time it is hit and the time it first hits the ground. b. Show that the trajectory of the ball is a segment of a parabola. C.Assuming a flat playing field, how far does the ball travel horizontally? Plot the trajectory of the ball. d. What is the maximum height of the ball? e. Does the ball clear a 20-ft fence that is 380 ft from home plate (directly under the path of the ball)
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