You are to fire a cannon and are trying to hit a target 300 meters due...

You are to fire a cannon and are trying to hit a target 300 meters due east of your current position. Your cannon fires projectiles with a mass of 2 kg and with an initial speed of 60 m/s. Gravity is pulling the projectile downward at an acceleration of 9.8 m/s2. There is a wind blowing from the north pushing the projectile southward with a force of 3 N. What is the angle θ up from the ground you must aim the cannon, and what is the angle φ the direction you must turn the cannon to the north? There is a large ridge between the cannon and the target, so your angle of inclination θ must be greater than 45 degrees. Use the acceleration vector given by the wind and gravity, the initial velocity, and the initial position (the origin), to find a position function for the projectile. This will depend on t, θ, and φ. Once you have this function, solve for t, θ, and φ.

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Expert Solution

genius_generous answered 1 year ago

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