Question

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 θ = 55.0 degrees from vertical. You design the Patriot Rocket so the magnitude of its acceleration is given by:

a₂ = A e^−bt

where A can be set on your Patriot Rocket as it is fired, and b = 0.15 s^-1. The direction of your Patriot Rocket's vector acceleration stays at the same angle, θ, for the entire trip. If an incoming missile passes over the defense base at a height of 4.80 km and at a constant speed of 683.0 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 time ∆t in between launch and impact, and the horizontal distance ∆x from the launch station to the impact position.

At 1pts Submit Answer Tries 0/15 Ax 1pts Submit Answer Tries 0/15 1pts Submit Answer Tries 0/15

Answer 1