Question

Marvin was standing on the roof of his house throwing water balloons onto people on the sidewalk below. (Do not try this at home.) When he let the balloon go the balloon was 45 cubits off of the ground. He learned through trial and error that in order to hit someone on the ground he had to have the balloon reach a maximum height of 55 cubits off of the ground 2 seconds after he threw it. Let h left parenthesis t right parenthesis be the height of the water balloon in cubits t seconds after it was thrown. Assume that height is a quadratic function of time. (Note: A cubit is a measurement of distance. Since we are not using feet or meters you cannot use standard physics formulas to solve this.) a) Find a formula for h left parenthesis t right parenthesis . b) Find the time when the balloon hits the ground. Answer this question using a complete sentence in terms of this problem.

Answer 1

The solution is attached.