Let a and b 2 positive real number such that a
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Answer:
Step-by-step explanation:
This is a typical problem of u.a.r.m. ( uniformly accelerated rectilinear motion). Let's take an eye on the u.a.r.m. equations:
We know the runner started from rest so we can discard as
Also we can consider she starts at .
All we have to do now is replace these values at our equations to obtain:
As we are told that the acceleration remains constant, we can then find the time it took for her to run the whole distance as follows:
First we note that the ratio between her velocity and the time it takes for her to run a certain distance is constant. This is:
In particular, if we take where
is the total time it takes for her to run the whole distance
We know that at this point the velocity is:
So that:
Now we can replace this in the equation of motion
Where we finally find that