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A projectile fired from the point (0,0) at an angle to the positive x-axis has a trajectory given by y Cx- (1+c?)HIA. In this formula, x is the horizontal distance in meters, y is the height in meters, v is the initial velocity in meters per second, g=9.81 m/sec is the acceleration due to gravity, and C>0 is a constant determined by the angle of elevation. A howitzer fires an artillerv round with a velacity of 891 m/sec. Answer barts (a) and (b). (a) If the round must clear a hill 153 meters high at a distance of 2255 meters in front of the howitzer, what C values are permitted in the trajectory equation? (Type vour answer in interval notation. Round the final answer to the nearest thousandth as needed. Round all intermediate values to five decimal places as needed.)

A projectile fired from the point (0,0) at an angle to the positive x-axis has a trajectory given by y Cx- (1+c?)HIA. In this formula, x is the horizontal distance in meters, y is the height in meters, v is the initial velocity in meters per second, g=9.81 m/sec is the acceleration due to gravity, and C>0 is a constant determined by the angle of elevation. A howitzer fires an artillerv round with a velacity of 891 m/sec. Answer barts (a) and (b). (a) If the round must clear a hill 153 meters high at a distance of 2255 meters in front of the howitzer, what C values are permitted in the trajectory equation? (Type vour answer in interval notation. Round the final answer to the nearest thousandth as needed. Round all intermediate values to five 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 from the point (0,0) at an angle to the positive x-axis has a trajectory given by y= Cx-(1+c?) . .In this formula, x is the horizontal distance in meters, y is the height in meters, v is the initial velocity in meters per second, g=9.81 m/ sec is the acceleration due to gravity, and C>0 is a constant determined by the angle of elevation. A howitzer fires an artillery round with a velocity of 891 m/sec. Answer parts (a) and (b). (a) If the round must clear a hill 153 meters high at a distance of 2255 meters in front of the howitzer, what C values are permitted in the trajectory equation? (Type your answer in interval notation. Round the final answer to the nearest thousandth as needed. Round all intermediate values to five decimal places as needed.)
Transcribed Image Text:A projectile fired from the point (0,0) at an angle to the positive x-axis has a trajectory given by y= Cx-(1+c?) . .In this formula, x is the horizontal distance in meters, y is the height in meters, v is the initial velocity in meters per second, g=9.81 m/ sec is the acceleration due to gravity, and C>0 is a constant determined by the angle of elevation. A howitzer fires an artillery round with a velocity of 891 m/sec. Answer parts (a) and (b). (a) If the round must clear a hill 153 meters high at a distance of 2255 meters in front of the howitzer, what C values are permitted in the trajectory equation? (Type your answer in interval notation. Round the final answer to the nearest thousandth as needed. Round all intermediate values to five decimal places as needed.)
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