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Sagot :
Answer
The ball is in the air for about 5 seconds.
Explanation
The height of the baseball above the ground (y), as a function of the time is given as
y = -16x² + 80x
The question question then asks us to find how long the baseball was in the air.
So, basically, in mathematical terms, we need to find x, for when y > 0
y = -16x² + 80x
0 < -16x² + 80x
We can rewrite this
-16x² + 80x > 0
16x (-x + 5) > 0
Divide both sides by 16
x (-x + 5) > 0
So, we can find the solution of this inequality using the trial and error method.
x < 0 | 0 < x < 5 | x > 5
x | -ve | +ve | +ve
(-x + 5) | +ve | +ve | -ve
x(-x + 5) | -ve | +ve | -ve
So, we can see that the equation is greater than 0, that is, positive, when
0 < x < 5
So, the ball is in the air for about 5 seconds.
Hope this Helps!!!
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