A baseball is hit 3 feet above the ground at 110 feet per second and at an angle of 45° with respect to the ground. (a) Find the vector-valued function for the path of the baseball. r(t)= 55 2 t, 55 2t-16t², 3 (b) Find the maximum height. (Round your answer to three decimal places.) 97.530 x ft (c) Find the range. (Round your answer to one decimal place.) ft (d) Find the arc lengths of the trajectory. (Round your answer to one decimal place.) S = ft

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A baseball is hit 3 feet above the ground at 110 feet per second and at an angle of 45° with respect to the ground.
(a) Find the vector-valued function for the path of the baseball.
r(t)= 55 2t, 55 2t-16t², 3
x
(b) Find the maximum height. (Round your answer to three decimal places.)
97.530
x ft
(c) Find the range. (Round your answer to one decimal place.)
ft
(d) Find the arc lengths of the trajectory. (Round your answer to one decimal place.)
S =
ft
Transcribed Image Text:A baseball is hit 3 feet above the ground at 110 feet per second and at an angle of 45° with respect to the ground. (a) Find the vector-valued function for the path of the baseball. r(t)= 55 2t, 55 2t-16t², 3 x (b) Find the maximum height. (Round your answer to three decimal places.) 97.530 x ft (c) Find the range. (Round your answer to one decimal place.) ft (d) Find the arc lengths of the trajectory. (Round your answer to one decimal place.) S = ft
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