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meredith48034
College
1. The height of a soccer ball that is kicked from the ground can be approximated by the function:
y= -18x^2 + 90x
where y is the height of the soccer ball is x seconds after it is kicked.
Find the time, in seconds, it takes from the moment the soccer ball is kicked until it returns to the ground.
2. The height of a soccer ball that is kicked from the ground can be approximated by the function:
y = -16x^2 + 64x
where y is the height of the soccer ball in feet x seconds after it is kicked. What is the soccer ball's maximum height in feet?
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(Based on todays review)
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BasketballEinstein
Answer:
2.
1.
Step-by-step explanation:
2. Sinse we do not have a y-intercept [C-value in this case], we have to use a part of the quadratic formula to solve for x, and rewrite this equation in Vertex Form, with
as the vertex point. Observe:
Now, keep in mind that
in the vertex formula,
gives you the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so in this case, sinse 2 is already positive, you do not need to alter its operation sign. With this being stated, you should already have this:
Now, to find k, all you have to do is plug 2 into the TOP equation to get your maximum height:
Therefore, sinse 64 is your k-value, 64 feet is indeed your maximum height.
1. Simply factour the quadratic equation:
In this case, from a height of sixty-four feet, it is IMPOSSIBLE for the football to hit the ground in zero seconds, therefore the ball will reach the ground in 5 seconds, which makes alot more sence.
I am joyous to assist you at any time.
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