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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 889 m/sec. Answer parts (a) and (b). ..... (a) If the round must clear a hill 195 meters high at a distance of 2308 meters in front of the howitzer, what C values are permitted in the trajectory equation?

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 889 m/sec. Answer parts (a) and (b). ..... (a) If the round must clear a hill 195 meters high at a distance of 2308 meters in front of the howitzer, what C values are permitted in the trajectory equation?

Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter10: Motion In A Noninertial Reference Frame
Section: Chapter Questions
Problem 10.18P
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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+ C²)| TE 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 889 m/sec. Answer parts (a) and (b). ..... (a) If the round must clear a hill 195 meters high at a distance of 2308 meters in front of the howitzer, what C values are permitted in the trajectory equation? M (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.) PRO EE
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+ C²)| TE 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 889 m/sec. Answer parts (a) and (b). ..... (a) If the round must clear a hill 195 meters high at a distance of 2308 meters in front of the howitzer, what C values are permitted in the trajectory equation? M (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.) PRO EE
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