a ball is dropped from a height of 20 feet above the ground. The velocity v(s) of the ball after it has travelled a distance of
1 answer:
<h2>We know that</h2>
The initial height is 20 feet above the ground.
The function to model the velocity is
Where <em>s</em> represents the distance in feet.
Mathematically, this function has all real numbers as a domain. However, that will no make sense for this situation, because it would use negative numbers for the distance <em>s</em> which does not make sense.
Therefore, the domain, in this case, would be all real numbers greater than or equal to zero, but less than or equal to 20.
<em>The reason for this domain is that the ball will go from 20 feet above the ground to zero feet on the ground.</em>
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Using interval notation would be
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Another way to solve this is to use the Midpoint Formula. The midpoint of a segment joining points 
and 
is
So the midpoint of your segment is
Perhaps it helps to see that the x-coordinate of the midpoint is just the average of the x-coordinates of the points. Ditto for the y-coordinate of the midpoint; just average the y's.
So the midpoint of your segment is
Perhaps it helps to see that the x-coordinate of the midpoint is just the average of the x-coordinates of the points. Ditto for the y-coordinate of the midpoint; just average the y's.