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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) (x)2 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 884 m/sec. Answer parts (a) and (b). (a) If the round must clear a hil| 234 meters high at a distance of 2496 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.)

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) (x)2 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 884 m/sec. Answer parts (a) and (b). (a) If the round must clear a hil| 234 meters high at a distance of 2496 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.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 31E
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sour 4.5.37 Tutoring Question Help v 12 sour A projectile fired frorn 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 ions the angle of elevation. Ton T A howitzer fires an artillery round with a velocity of 884 m/sec. Answer parts (a) and (b). (a) If the round must clear a hill 234 meters high at a distance of 2496 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:sour 4.5.37 Tutoring Question Help v 12 sour A projectile fired frorn 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 ions the angle of elevation. Ton T A howitzer fires an artillery round with a velocity of 884 m/sec. Answer parts (a) and (b). (a) If the round must clear a hill 234 meters high at a distance of 2496 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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