An archer fires an arrow from ground level at an angle of 45° with the horizontal. What must the initial velocity be for the archer to hit a target at the top of a 120 meter tower located 180 meters away? (Use g =9.81 m/s²). You must show your work. Calculus III Tower, 120 m 45° Distance to Tower, 180 m

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please use calculus III

An archer fires an arrow from ground level at an angle of 45° with the horizontal. What must
the initial velocity be for the archer to hit a target at the top of a 120 meter tower located 180
meters away? (Use g =9.81 m/s“ ). You must show your work. Calculus III
Tower, 120 m
45°
Distance to Tower, 180 m
Transcribed Image Text:An archer fires an arrow from ground level at an angle of 45° with the horizontal. What must the initial velocity be for the archer to hit a target at the top of a 120 meter tower located 180 meters away? (Use g =9.81 m/s“ ). You must show your work. Calculus III Tower, 120 m 45° Distance to Tower, 180 m
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The value of a unit in a particular direction can be found out using the angle made in that direction and applying trigonometric ratios.

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