You are attacking your enemy’s castle and prepare your catapult to launch a large stone at the castle wall. As your clan’s engineer, it is up to you to calculate the correct distance from the wall to fire your catapult. You know that the projectile will be launched from the catapult 8.2 m above the ground at a velocity of 40 m/s at an angle of 46◦ above the horizontal, and you want to hit the castle wall 3.0 m above the ground, where the projectile will do the most damage. How far from the wall should your catapult be positioned?

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Projectile Motion