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A cannonball is fired with an initial velocity of 100 m/s at an angle of 35...

A cannonball is fired with an initial velocity of 100 m/s at an angle of 35 degrees above the positive x-axis.

The target is the enemy King's tower.  

The cannon is positioned 300 m from the base of the King's tower, on a flat, horizontal field. The cannonball takes 3.66 s to strike the tower after it is fired.

1. At what height on the tower does the cannonball strike?

2. What is the approximate magnitude of the cannonball's velocity when it strikes the tower?

3. How far from the base of the castle can the cannon be positioned and still hit the castle?

Assume the cannonball just-barely clips the bottom left corner of the castle

4. What will be the magnitude of the cannonball's velocity when it strikes the castle?

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