Respuesta :
When the ball hit the ground, the height of the ball will be zero. So using the value of h(x) as zero in the given equation, we can find the time in which the ball will hit the ground.
[tex]0=-(x-2)^{2}+16 \\ \\ (x-2)^{2}=16 \\ \\ x-2= \sqrt{16} \\ \\ x-2=4 \\ \\ x=6 [/tex]
This means the ball will hit the ground 6 seconds after Amir threw it
[tex]0=-(x-2)^{2}+16 \\ \\ (x-2)^{2}=16 \\ \\ x-2= \sqrt{16} \\ \\ x-2=4 \\ \\ x=6 [/tex]
This means the ball will hit the ground 6 seconds after Amir threw it
The other person's answer of '6' is correct, but only when your question specifically asks:
How many seconds after being thrown will the ball hit the ground?