An Orc archer below a 54 meter high tower (different height from the wall from problem 3) fires his crossbow at 45 m/s at a 53.1 degree angle from horizontal. What is the closest that the orc can stand to the tower to exactly hit a target on the top of the tower? What is the farthest that the orc can stand to the tower to exactly hit a target on the top of the tower? What is the highest point (above the tower, not the ground!) that the orc’s arrow can reach firing at this velocity and angle?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 56P: Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a...
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  1. An Orc archer below a 54 meter high tower (different height from the wall from problem 3) fires his crossbow at 45 m/s at a 53.1 degree angle from horizontal.  
    1. What is the closest that the orc can stand to the tower to exactly hit a target on the top of the tower?
    2. What is the farthest that the orc can stand to the tower to exactly hit a target on the top of the tower?
    3.  What is the highest point (above the tower, not the ground!) that the orc’s arrow can reach firing at this velocity and angle?
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