Samantha threw and apple out of the window fr the tenth floor of her apartment building. The equation y= -16t^2 +120 can be used
to represent the fruits 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 to the nearest hundredth.
Explanation: We are given that: y = -16t² + 120 models the situation where: y is the floor number t is the time taken for the apple to hit the ground
We are also given that the floor number (y) is 10. Therefore, all we have to do is substitute with y in the above equation and solve for the time t as follows: y = -16t² + 120 10 = -16t² + 120 120 - 10 = 16t² 110 = 16t² t² = 110/16 t = ±√6.875 either t = 2.74 seconds ..........> accepted or t = -2.74 seconds .........> rejected as time cannot be in negative
