A projectile fired into the first quadrant from the arigin of a coordinate system will pass through the point (x.y) at time t according to 2x whoro ) is the angle of olevation of the launcher and g is the acceleration due to gravity (32.2 2y + gl the relationship cot0= feet/second?). An artilleryman is firing at an onemy bunker located 2700 feet up the side of a hill that is 6275 feet away Ho fires a round, and exactly 2.89 sedonds laler he scores a direct hit. (a) What angle of elevation did he use? 0- (Do not round until the final answer. Then round to one decimal place as neodod.) (b) If the angle of elevation is also given by sec 0= where Ve is the muzzle volocily of the woapan, find the muzzlo velocity of the artillery piece he used. Vo - feet/second (Round to two decimal places as needed.) II

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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 to
2x
2 whore () is the angle of olevation of the launcher and g is the acceloration due to gravity (32.2
2y + gt
the relationship cot0-
feet/second?). An artilleryman is firing at an enemy bunker located 2700 feet up the side of a hill that is 6275 feet away. Ho fires a
round, and exactly 2.89 seconds laler he scores a direct hit.
(a) What angle of elevation did he use?
(Do not round until the final aniswer Then round to one decimal place as nooded.)
(b) If the angle of elevation is also given by sec 0=
where v is the muzzle volocily of the woapon, find the muzzlo velocity of
the artillery piece he used.
Vo - feet/second (Round to two decimal places as needed.)
II
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 to 2x 2 whore () is the angle of olevation of the launcher and g is the acceloration due to gravity (32.2 2y + gt the relationship cot0- feet/second?). An artilleryman is firing at an enemy bunker located 2700 feet up the side of a hill that is 6275 feet away. Ho fires a round, and exactly 2.89 seconds laler he scores a direct hit. (a) What angle of elevation did he use? (Do not round until the final aniswer Then round to one decimal place as nooded.) (b) If the angle of elevation is also given by sec 0= where v is the muzzle volocily of the woapon, find the muzzlo velocity of the artillery piece he used. Vo - feet/second (Round to two decimal places as needed.) II
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