You are designing a missile defense system that will shoot down incoming missiles that pass over a perimeter defense po s shown below. An incoming missile passes directly above the defense base. Radar at the base can measure the height, v1, of the incoming missile. Your Patriot Rocket is set to fire at an angle of 0 = 67° from vertical. You design the Patriot F magnitude of its acceleration is given by: a2 = Ae bt where A can be set on your Patriot Rocket as it is fired, b = 0.15 s 1, and t = 0 s when it is fired. The direction of your Rocket's vector acceleration stays at the same angle, 0, for the entire trip. If an incoming missile passes over the defens height of 4.7 km and at a constant speed of 757 m/s (this means that vi is constant), solve for the value of A your Patr must have in order to hit the incoming missile. You will also need to enter results from intermediate steps of your calculati the horizontal distance Ax from the launch station to the impact position, and the time tf at impact.

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Chapter1: Units, Trigonometry. And Vectors
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How do you find the constant A?

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 above the 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 = 67° from vertical. You design the Patriot Rocket so the
magnitude of its acceleration is given by:
a2 =
Ae bt
where A can be set on your Patriot Rocket as it is fired, b = 0.15 s, and t = 0 s when it is fired. The direction of your Patriot
Rocket's vector acceleration stays at the same angle, 0, for the entire trip. If an incoming missile passes over the defense base at a
height of 4.7 km and at a constant speed of 757 m/s (this means that v1 is constant), solve for the value of A your Patriot Rocket
must have in order to hit the incoming missile. You will also need to enter results from intermediate steps of your calculation, including
the horizontal distance Ax from the launch station to the impact position, and the time tf at impact.
X
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 above the 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 = 67° from vertical. You design the Patriot Rocket so the magnitude of its acceleration is given by: a2 = Ae bt where A can be set on your Patriot Rocket as it is fired, b = 0.15 s, and t = 0 s when it is fired. The direction of your Patriot Rocket's vector acceleration stays at the same angle, 0, for the entire trip. If an incoming missile passes over the defense base at a height of 4.7 km and at a constant speed of 757 m/s (this means that v1 is constant), solve for the value of A your Patriot Rocket must have in order to hit the incoming missile. You will also need to enter results from intermediate steps of your calculation, including the horizontal distance Ax from the launch station to the impact position, and the time tf at impact. X
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