Inverse and Direct Variation Word Problems - Examples

The distance something falls in freefall is directly proportional to the square of the time it spends falling. $\\$ Your friend swears he saw someone throw a watermelon so high that, when coming down, it took 1 minute to fall completely. $\\$ You don't believe him so you drop a watermelon off your school's roof which is 36 feet in the air. It takes about 1.5 seconds to reach the ground. $\\$ Using this information, how high up would the watermelon need to be tossed for it to take a minute to fall back down?