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