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A golf ball is hit upward from the ground, with an initial velocity of 45 meters per second, at an angle of 56° with respect to the horizontal. The horizontal distance x from the starting point and the height y above the ground of the ball r seconds after it is hit are given by the parametric equations below. x= (v₁ cos 0) t y=-4.91² + (v sin 0)t +h Here vo is the initial velocity, is the initial angle with respect to the horizontal, and h is the initial height. Use the equations to answer the following questions. (a) How long is the ball in the air before it first touches the ground? Do not round any intermediate computations. Round your answer to the nearest hundredth. seconds (b) What is the horizontal distance the ball travels before it first touches the ground? Round your answer to the nearest whole number. meters

A golf ball is hit upward from the ground, with an initial velocity of 45 meters per second, at an angle of 56° with respect to the horizontal. The horizontal distance x from the starting point and the height y above the ground of the ball r seconds after it is hit are given by the parametric equations below. x= (v₁ cos 0) t y=-4.91² + (v sin 0)t +h Here vo is the initial velocity, is the initial angle with respect to the horizontal, and h is the initial height. Use the equations to answer the following questions. (a) How long is the ball in the air before it first touches the ground? Do not round any intermediate computations. Round your answer to the nearest hundredth. seconds (b) What is the horizontal distance the ball travels before it first touches the ground? Round your answer to the nearest whole number. meters

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 60E
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A golf ball is hit upward from the ground, with an initial velocity of 45 meters per second, at an angle of 56° with respect to the horizontal. The horizontal distance x from the starting point and the height y above the ground of the ball t seconds after it is hit are given by the parametric equations below. = (vo cos 0) t y=-4.91²+ (v sin 0)t +h Here yo is the initial velocity, 0 is the initial angle with respect to the horizontal, and h is the initial height. Use the equations to answer the following questions. x= (a) How long is the ball in the air before it first touches the ground? Do not round any intermediate computations. Round your answer to the nearest hundredth. seconds (b) What is the horizontal distance the ball travels before it first touches the ground? Round your answer to the nearest whole number. meters X
Transcribed Image Text:A golf ball is hit upward from the ground, with an initial velocity of 45 meters per second, at an angle of 56° with respect to the horizontal. The horizontal distance x from the starting point and the height y above the ground of the ball t seconds after it is hit are given by the parametric equations below. = (vo cos 0) t y=-4.91²+ (v sin 0)t +h Here yo is the initial velocity, 0 is the initial angle with respect to the horizontal, and h is the initial height. Use the equations to answer the following questions. x= (a) How long is the ball in the air before it first touches the ground? Do not round any intermediate computations. Round your answer to the nearest hundredth. seconds (b) What is the horizontal distance the ball travels before it first touches the ground? Round your answer to the nearest whole number. meters X
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