samantha threw an apple out of a window from the tenth floor of her appartment building. the equation y = -16t^2+120 can be used
to represent the ground where t represents time in seconds after she threw the apple how long did it take for the apple to hit the ground. round your answer 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 t² = 6.875 either t = 2.74 seconds ..........> accepted or t = -2.74 seconds .........> rejected as time cannot be in negative
