" 10.Derive the expressions (a) "v=u+at," (b) "s=ut+(1)/(2)at^(2)" by using "v-t" graph."

What is v-t graph? Derive the expression x = V_0 t + 1//2 at^2 using v-t graph.

Derive dimensionally the relation s = ut +(1)/(2)f t^(2) .

Using graphical method, derive the equations v = u + at and s = ut + (1)/(2)at^(2) where symbols have their usual meanings.

Derive the equations of motion by using Velocity to Time graph. (a) v= u + at (b) s = ut + (1)/(2) at^(2) Where , v= Final velocity of an object . u= Initial velocity of an object . a = Acceleration of an object . t= Time duration .

Deduce the following relations analytically for a uniformly accelerated motion along at a line, where terms have their usual meanings (i) v=u + at (ii) s= ut + 1/2 at^2 (iii) v^2 =u^2 + 2 as .