A projectile is fired vertically from point A with an initial speed of 290 ft/sec. Relative to an observer located at B, at what times (find two times t₁ < t₂) will the line of sight to the projectile make an angle of 20° with the horizontal? Compute the magnitude of the speed of the projectile at each time. The magnitude of the drag deceleration is kv², where k= 3.1(103) ft ¹ and v is the speed in feet per second. The direction of the drag is opposite the motion of the projectile throughout the flight (when the projectile is moving upward, the drag is directed downward, and when the projectile is moving downward, the drag is directed upward). Answers: t₁ = B t₂ = i i 20⁰ 17.45 0.56 430' 290 ft/sec sec, |v|= A sec, |v|= i ft/sec ft/sec

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.3P: If a projectile is fired from the origin of the coordinate system with an initial velocity υ0 and in...
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A projectile is fired vertically from point A with an initial speed of 290 ft/sec. Relative to an observer located at B, at what times (find
two times t₁ < t₂) will the line of sight to the projectile make an angle of 20° with the horizontal? Compute the magnitude of the speed
of the projectile at each time. The magnitude of the drag deceleration is kv², where k= 3.1(103) ft-¹ and v is the speed in feet per
second. The direction of the drag is opposite the motion of the projectile throughout the flight (when the projectile is moving upward,
the drag is directed downward, and when the projectile is moving downward, the drag is directed upward).
Answers:
t₁ =
B
t₂ =
20⁰
17.45
0.56
430'
290 ft/sec
sec, |v|=
sec, |v|=
A
ft/sec
ft/sec
Transcribed Image Text:A projectile is fired vertically from point A with an initial speed of 290 ft/sec. Relative to an observer located at B, at what times (find two times t₁ < t₂) will the line of sight to the projectile make an angle of 20° with the horizontal? Compute the magnitude of the speed of the projectile at each time. The magnitude of the drag deceleration is kv², where k= 3.1(103) ft-¹ and v is the speed in feet per second. The direction of the drag is opposite the motion of the projectile throughout the flight (when the projectile is moving upward, the drag is directed downward, and when the projectile is moving downward, the drag is directed upward). Answers: t₁ = B t₂ = 20⁰ 17.45 0.56 430' 290 ft/sec sec, |v|= sec, |v|= A ft/sec ft/sec
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