Question

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

Answer 1

Answer:
time taken = 2.74 seconds

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

Hope this helps :)