Question

derive the eqyations for uniform accelerated motion for the displacement covered in its nth second of its motion is Sn = u + a (n - 1/2) ?

Answer 1

Let us say an object travelling with constant acceleration a and velocity v displacement in n seconds s-xmts a-am/s^2 u-um/s t-ns s=ut+1/2at^2 X=un+1/2an^2 Displacement in (n-1)s s-ym a-am/s^2 T-n-1s y=u(n-1)+1/2a(n-1)^2 Sn=x-y Sn=un+1/2an^2-[un-u+1/2an^2+1/2a-an] Sn=u+a(n-1/2)