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A projectile fired into the first quadrant from the origin of a coordinate system will pass through the point (x,y) at time t according 2x to the relationship cot0 = where 0 is the angle of elevation of the launcher and g is the acceleration due to gravity (32.2 2y + gt? feet/second2). An artilleryman is firing at an enemy bunker located 2325 feet up the side of a hill that is 6475 feet away. He fires a round, and exactly 2.64 seconds later he scores a direct hit. ..... (a) What angle of elevation did he use? (Do not round until the final answer. Then round to one decimal place as needed.) Vot where v, is the muzzle velocity of the weapon, find the muzzle velocity of (b) If the angle of elevation is also given by sec 0 = the artillery piece he used. Vo = feet/second (Round to two decimal places as needed.)

A projectile fired into the first quadrant from the origin of a coordinate system will pass through the point (x,y) at time t according 2x to the relationship cot0 = where 0 is the angle of elevation of the launcher and g is the acceleration due to gravity (32.2 2y + gt? feet/second2). An artilleryman is firing at an enemy bunker located 2325 feet up the side of a hill that is 6475 feet away. He fires a round, and exactly 2.64 seconds later he scores a direct hit. ..... (a) What angle of elevation did he use? (Do not round until the final answer. Then round to one decimal place as needed.) Vot where v, is the muzzle velocity of the weapon, find the muzzle velocity of (b) If the angle of elevation is also given by sec 0 = the artillery piece he used. Vo = feet/second (Round to two decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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A projectile fired into the first quadrant from the origin of a coordinate system will pass through the point (x,y) at time t according 2x to the relationship cot0 = where 0 is the angle of elevation of the launcher and g is the acceleration due to gravity (32.2 2y + gt? feet/second2). An artilleryman is firing at an enemy bunker located 2325 feet up the side of a hill that is 6475 feet away. He fires a round, and exactly 2.64 seconds later he scores a direct hit. (a) What angle of elevation did he use? (Do not round until the final answer. Then round to one decimal place as needed.) Vot where vo is the muzzle velocity of the weapon, find the muzzle velocity of (b) If the angle of elevation is also given by sec 0 = the artillery piece he used. Vo = feet/second (Round to two decimal places as needed.)
Transcribed Image Text:A projectile fired into the first quadrant from the origin of a coordinate system will pass through the point (x,y) at time t according 2x to the relationship cot0 = where 0 is the angle of elevation of the launcher and g is the acceleration due to gravity (32.2 2y + gt? feet/second2). An artilleryman is firing at an enemy bunker located 2325 feet up the side of a hill that is 6475 feet away. He fires a round, and exactly 2.64 seconds later he scores a direct hit. (a) What angle of elevation did he use? (Do not round until the final answer. Then round to one decimal place as needed.) Vot where vo is the muzzle velocity of the weapon, find the muzzle velocity of (b) If the angle of elevation is also given by sec 0 = the artillery piece he used. Vo = feet/second (Round to two decimal places as needed.)
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