College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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The horizontal distance to collision is 8242.96 m. The time of collision is 10.487 sec. What is A in m/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 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 = 63° 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 ¹, and t = 0s 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 4.2 km and at a constant speed of 786 m/s (this means that ₁ 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 to at
impact.
X
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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 = 63° 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 ¹, and t = 0s 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 4.2 km and at a constant speed of 786 m/s (this means that ₁ 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 to at impact. X
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