What are the uses of v - t graph?

Represent the following v - t graph on a a - t graph.

Represent the following a-t graph on a v-t graph.

Represent the following v - t graph on s-t graph.

A voltage V = V_(0) sin omega t is applied to a series LCR circuit. Derive the expression for the average power dissipated over a cycle. Under what condition is (i) no power dissipated even though the current flows through the circuit, maximum power dissipated in the circuit ?

Show that x=v_(0)t+1//2at^(2) by graphical method.

The graph represented by the equations x=sin ^(2) t y=2 cos t is

Represent uniform motion of a particle on a x - t graph.

Represent uniform accelerated motion on a s-t graph.

Find the equations of the tangent and normal to the given curve at the given points. (v) x = cos t, y = sin t at t = (pi)/4