You have a consulting job at a seaside fort located at the top of a cliff at the water's edge guarding the important port city of Purpletown. The fort has a cannon on the wall overlooking the water to defend against attackers from the sea.. Your first task is to measure the range of the cannon fired at different angles. You carefully measure the height of the cannon above the water below at 46.0 m and measure the muzzle velocity of the cannonball at 65.0 m/s. Assume air resistance is negligible. 1. Draw the cannonball trajectory in the space below. Draw the path of the cannonball as you fire it at angle 0. Label the initial parameters and the final parameters for the cannonball. 2. Complete the table below. Use the variable for the unknown launch angle. Include a question mark for any other parameter you do not know before solving. x Parameter 20 I Value y Parameter Value Yo Vox Vx Y Voy Vy ax t ay t 3. In the space below, solve for an expression for the time of flight (time that the cannonball is in the air) given firing angle 0. Your expression will have the unknown angle in it. 4. In the space below find an expression for the distance from the base of the cliff to the point where the cannonball hits the water when fired at angle 0. 5. Find the time of flight and the range for a firing angle of 45.0. 1 6. Find the time of flight and the range for a firing angle of 42.0. 7. Describe how to find the firing angle for maximum range?