An arrow is shot upward, with an initial velocity of 82 meters per second, at an angle of 40° with respect to the horizontal. The arrow is shot from a height of 9 meters above the ground. The horizontal distance x from the starting point and the height y above the ground of the arrow t seconds after it is shot are given by the parametric equations below. X= y=-4.9r + (v, sine)t +h Here V 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. (a) How long is the arrow 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 arrow travels before it first touches the ground? Round your answer to the nearest whole number. O meters
An arrow is shot upward, with an initial velocity of 82 meters per second, at an angle of 40° with respect to the horizontal. The arrow is shot from a height of 9 meters above the ground. The horizontal distance x from the starting point and the height y above the ground of the arrow t seconds after it is shot are given by the parametric equations below. X= y=-4.9r + (v, sine)t +h Here V 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. (a) How long is the arrow 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 arrow travels before it first touches the ground? Round your answer to the nearest whole number. O meters
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 9CT
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