his is the problem that I was given. I am asked to find the horizontal distance to collision which I found by distance/height=tan(theta). I am asked to calculate time ofcollision which I did by taking distance/speed (in km/s). I am also asked to calculate the constant A from the accleration equation. I find A by taking the intgral of the acceleration twice to find my position formula. I plug in zero for t to get A/b^2=position. I find position by taking pythagorean theorem of height and distance, then multiply what I get by b^2. My reasoning is wrong somehwere as I keep getting the wrong answers (the answers I get are shown in the second picture).  Can you please exlain where I am going wrong and provide a correct example/r

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 76P: A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h,...
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this is the problem that I was given. I am asked to find the horizontal distance to collision which I found by distance/height=tan(theta). I am asked to calculate time ofcollision which I did by taking distance/speed (in km/s). I am also asked to calculate the constant A from the accleration equation. I find A by taking the intgral of the acceleration twice to find my position formula. I plug in zero for t to get A/b^2=position. I find position by taking pythagorean theorem of height and distance, then multiply what I get by b^2. My reasoning is wrong somehwere as I keep getting the wrong answers (the answers I get are shown in the second picture).  Can you please exlain where I am going wrong and provide a correct example/reasoning?

Horizontal Distance to Collision
Az- 8.93 km
Time of Collision
tf=13.78s
Value of Rocket Constant A
A= 1.30 km/s^2
Transcribed Image Text:Horizontal Distance to Collision Az- 8.93 km Time of Collision tf=13.78s Value of Rocket Constant A A= 1.30 km/s^2
You are designing a missile defense system that will shoot down incoming missiles that pass over a perimeter defense post. The set-up is shown below. An incoming missile passes directly abov
defense base. Radar at the base can measure the height, h, and speed, v1, of the incoming missile. Your Patriot Rocket is set to fire at an angle of 0 = 57° from vertical. You design the Patriot P
magnitude of its acceleration is given by:
bt
a2%3DAe
where A can be set on your Patriot Rocket as it is fired, b = 0.35 s, and t = 0s when it is fired. The direction of your Patriot Rocket's vector acceleration stays at the same angle, 0, for the en
an incoming missile passes over the defense base at a height of 5.8 km and at a constant speed of 648 m/s (this means that v, is constant), solve for the value of A your Patriot Rocket must ha
to hit the incoming missile. You will also need tò enter results from intermediate steps of your calculation, including the horizontal distance Az from the launch station to the impact position, and th
1
impact.
e
Transcribed Image Text:You are designing a missile defense system that will shoot down incoming missiles that pass over a perimeter defense post. The set-up is shown below. An incoming missile passes directly abov defense base. Radar at the base can measure the height, h, and speed, v1, of the incoming missile. Your Patriot Rocket is set to fire at an angle of 0 = 57° from vertical. You design the Patriot P magnitude of its acceleration is given by: bt a2%3DAe where A can be set on your Patriot Rocket as it is fired, b = 0.35 s, and t = 0s when it is fired. The direction of your Patriot Rocket's vector acceleration stays at the same angle, 0, for the en an incoming missile passes over the defense base at a height of 5.8 km and at a constant speed of 648 m/s (this means that v, is constant), solve for the value of A your Patriot Rocket must ha to hit the incoming missile. You will also need tò enter results from intermediate steps of your calculation, including the horizontal distance Az from the launch station to the impact position, and th 1 impact. e
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