Samantha threw an apple out of a window from the tenth floor of her apartment building. The

Question

equation y = -16t2 + 120 can be used to represent the fruit's height above the ground, where
t represents time, in seconds, after she threw the apple. How long did it take the apple to hit the ground? Round your answer to the nearest hundredth.

Answer 1

To find out how long it took for the apple to hit the ground, we need to set the height equation y = -16t^2 + 120 equal to 0 and solve for t:

-16t^2 + 120 = 0
-16t^2 = -120
t^2 = 7.5
t = √7.5
t ≈ 2.74

Therefore, it took approximately 2.74 seconds for the apple to hit the ground.