test yourself! practice tool\nsamantha threw an apple out of a window from the tenth floor of her apartment…

test yourself! practice tool\nsamantha 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? round your answer to the nearest hundredth.\n\n□ seconds

test yourself! practice tool\nsamantha 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? round your answer to the nearest hundredth.\n\n□ seconds

Answer

Explanation:

Step1: Set height y to 0

When the apple hits the ground, its height above the ground $y = 0$. So we set up the equation $0=-16t^{2}+120$.

Step2: Rearrange the equation

Add $16t^{2}$ to both sides of the equation: $16t^{2}=120$.

Step3: Solve for $t^{2}$

Divide both sides by 16: $t^{2}=\frac{120}{16}=\frac{15}{2} = 7.5$.

Step4: Solve for t

Take the square - root of both sides. Since $t$ represents time, we consider only the positive square - root. $t=\sqrt{7.5}\approx2.74$ seconds.

Answer:

$2.74$