You are general in the Napoleonic wars. You are on top of a plain 12m talk and you have a cannon that can shoot a cannonball out at 350 m/s. 800 m away is a thick forest that you cannot see into but one of your scouts in a hot air balloon has just signaled to you that an enemy cavalry charge inside the forest is rushing toward you at a speed of 7m/s and they are 1000m from the edge of the forest. You want their entry onto the battle plain to welcomed with a nice big fat cannonball. At what angle must you tilt your cannon so the cannonball hits the edge of the forest and what time (starting with t=0 sec at the present) must you fire it so that it his the enemy just as they reach the forests edge?
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