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A football is kicked into the air. The height of the football can be modeled by the equation
h = -16x^2 + 16x, where h is the height reached by the ball after x seconds. When does the
ball touch the ground?

Sagot :

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.