Uniform acceleration

[markosheehan]

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

[Guest]

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

Hope this helped,

R. Baber.