# Uniform acceleration

### Uniform acceleration

A particle travels srating with a initial speed u, with uniform acceleration a. Show that the distance travelled during the nth second is u+an-.5a.
I tried working this out by putting this information into the formula
S=ut+.5at^2 but it did not work
markosheehan

Posts: 12
Joined: Wed Jun 15, 2016 11:34 am
Reputation: 0

### Re: uniform acceleration

The question doesn't ask for the total distance travelled after $$n$$ seconds, but the distance travelled during the $$n$$-th second.
$$s=ut+at^2/2$$ is the total distance travelled after $$t$$ seconds.
Work out $$s$$ when $$t=n-1$$ and when $$t=n$$, then take the difference to get the distance travelled during the $$n$$-th second.

Hope this helped,

R. Baber.
Guest