Arunner maintains constant acceleration after starting from rest as she runs a distance of 60.0 m. the runner's speed at the end of the 60.0 m is 9.00 m/s. how much time did it take the runner to complete the 60.0 m distance?

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

It takes to the runner 13.33 seconds to complete the 60 m.

Step-by-step explanation:

This is a uniformly accelerated rectilinear motion problem.

Isolating "a" from the equation:

On the other hand we have a second equation associated with uniformly accelerated motion:

Isolating "t" from this equation, We have:

So, the runner takes 13.33 seconds to complete 60 meters.

yes you got it correct I'm so glad that you know how to do that