A baseball is hit, following a path represented by x = 135t and y = 3.3 + 38t − 16t 2 for 0 ≤ t ≤ 3. Part A: Find the ordered pairs, (x, y) when t = 0.2, 1.2, and 2.2. Part B: The fence, which is 10 feet tall, lies 320 feet away from home plate. Does the baseball travel over the fence? Justify your answer mathematically. Part C: Write a rectangular equation to represent the plane curve.
A baseball is hit, following a path represented by x = 135t and y = 3.3 + 38t − 16t 2 for 0 ≤ t ≤ 3. Part A: Find the ordered pairs, (x, y) when t = 0.2, 1.2, and 2.2. Part B: The fence, which is 10 feet tall, lies 320 feet away from home plate. Does the baseball travel over the fence? Justify your answer mathematically. Part C: Write a rectangular equation to represent the plane curve.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 38E
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A baseball is hit, following a path represented by x = 135t and y = 3.3 + 38t − 16t 2 for 0 ≤ t ≤ 3.
Part A: Find the ordered pairs, (x, y) when t = 0.2, 1.2, and 2.2.
Part B: The fence, which is 10 feet tall, lies 320 feet away from home plate. Does the baseball travel over the fence? Justify your answer mathematically.
Part C: Write a rectangular equation to represent the plane curve.
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