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1 answer:
In this problem, we want to answer an application problem including velocity.
We are given
where v represents the velocity and h represents the height in meters.
If we are dropping an object from a height of 22.3 meters, we want to know the velocity when it hits the ground.
We can subsitute the value of h into the formula to get:
So, the velocity will be 20.9 meters per second.
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We were told that the distance is directly proportional to the time
.
We write this mathematically as,
We can now introduce our constant of variation and write the equation for the direct equation as;
where is the constant of variation or constant of proportionality.
We substitute and
, in to the equation of variation to obtain the constant of proportionality.
That is;
This implies that,
This simplifies to give us,
Now our equation of proportion becomes,
When T=20
Writing this as a mixed number we obtain,
This can also be rewritten as
correct to one decimal places.
Therefore the care covers miles in
minutes.