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Answer:
x = 0 and x = 1
Step-by-step explanation:
Given that,
A football is kicked into the air. The height of the football can be modeled by the equation :
[tex]h = -16x^2 + 16x[/tex]
Where
h is the height reached by the ball after x seconds
When it touches the ground, h = 0
So,
[tex]-16x^2 + 16x=0\\\\16x(-x+1)=0\\\\x=0\ and\ x=1[/tex]
So, it will touch the ground at x = 0 and x = 1 seconds.