# calculus

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Harry Potter is caught in a fierce duel between him and his rival Draco Malfoy. Draco just missed Harry with the Expelliarmus spell, and Harry fires back with a Flipendo jinx, attempting to send Draco flying backward. Harry is standing 44 feet away from Draco and shot the spell at an angle of 38 degrees from his wand which is four feet off the ground. The Flipendo jinx travels at a rate of 15 ft/sec. Disarmed, as soon as Harry unleashed the spell Draco started to run in the opposite direction at a rate of 6 ft/sec. Will the spell ever hit Draco before it dies out? How long will the spell travel before it reaches the ground? Assume that gravity is in effect, but there is no air resistance in the Hogwarts castle.

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