ppose an apple is in a tree a height of 15 meters above the ground, ar her, 75 meters away, standing on the ground, wishes to hit the apple r arrow, which she can launch at 97.5 m/s. Unfortunately, right as the a es her arrow, the apple falls out of the tree. What angle should the a ve fired the arrow so that she hits the apple as it falls in midair? At

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
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Problem 3
Suppose an apple is in a tree a height of 15 meters above the ground, and an
archer, 75 meters away, standing on the ground, wishes to hit the apple with
her arrow, which she can launch at 97.5 m/s. Unfortunately, right as the archer
fires her arrow, the apple falls out of the tree. What angle should the archer
have fired the arrow so that she hits the apple as it falls in midair? At what
height above the ground should she have been aiming? Hint: What must be true
about the coordinates of two objects so that they collide at some specified time?
Transcribed Image Text:Problem 3 Suppose an apple is in a tree a height of 15 meters above the ground, and an archer, 75 meters away, standing on the ground, wishes to hit the apple with her arrow, which she can launch at 97.5 m/s. Unfortunately, right as the archer fires her arrow, the apple falls out of the tree. What angle should the archer have fired the arrow so that she hits the apple as it falls in midair? At what height above the ground should she have been aiming? Hint: What must be true about the coordinates of two objects so that they collide at some specified time?
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