- #1

- 6

- 0

**1. Problem Statement:**

A fixed cannon is to fire a projectile at a tank moving toward the cannon at 40 mph. If the cannon is to fire at the moment the tank is 8 miles from the cannon, and the muzzle speed of the projectile is 1000 mph what is the correct equation to determine the firing angle?

**2. Homework Equations :**

Acceleration of gravity: 79000 m/h^2

**3. Solution Attempt:**

Initial conditions:

r=<8-40t,0>

v=<1000*cos(theta), 1000*sin(theta)>

started with:

acceleration_projectile=<0,-g>

<0,-79000.

velocity (took integral and used initial conditions to come up with constants)

v=<1000*cos(theta), -79000t+1000*sin(theta)>

position:

r=<1000*cos(theta)*t+t-40t, -79000t^2/2+1000*sin(theta)t>

**The answer I'm supposed to get is (3.16*cos(theta)+0.127)*sin(theta)=1

Any help would be greatly appreciated.