Question

what does the area under a v- t graph and A-t graph represent?

Answer 1

v-t graph presents distance or displacement
a-t represents velocity

Answer 2

See the area under vt graph gives displacement and area under at graph gives velocity.

You can find it by....

The slope of a graph is always the differentiation of two variables given and the area of graph is always the integration of the two variables given. Like...

Slope -

vt graph....dv/dt = a

xt graph....dx/dt = v

Area -

vt graph....int v.dt = x

at graph....int a.dt = v

Hope it helped...!