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Samantha threw an apple out of a window from 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?

Respuesta :

MiNk2019314
If the apple is on the ground, then the height y is 0. To find t, just plug in 0 for y:
[tex]0=-16t^{2}+120[/tex]
[tex]-120=-16t^{2} [/tex]
[tex] t^{2} =7.5[/tex]
[tex]t=2.74[/tex]

So the answer is 2.74 seconds.

Note that taking the square root of 7.5, mathematically, gives you both 2.74 and -2.74. But because we know that time did not go backwards, only the positive value for t was considered.
the awnser your looking for is 2. something seconds 

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