The time it takes for a rocket following the path h(x)= -4x² + 16x to hit the ground is 4 seconds.
How to find the time for a rocket to hit the ground?
The given path equation is a function of x which is a time variable here. When the rocket hits ground, height of the rocket gets zero.
Hence equating the equation of height to zero and solving for x will give the time required for the rocket to hit the ground.
According to the given question:
We are given equation for height as
h(x) = -4x² + 16x
where x is the time in seconds
When object hits the ground the height becomes 0
So, we can set h(x) = 0 and then we can solve for x
-4x² + 16x = 0
Dividing by -4x from both sides
x - 4 = 0
x = 4 sec
So, the time it takes for a rocket to hit the ground is 4 seconds.
To know more about rocket and time taken visit
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