Question

53. Derive the first equation of uniformly accelerated motion v=u+ at with graphical
method.​

Answer 1

A body moving along a straight line path with uniform acceleration.

Let u = initial velocity at time t = 0.

so, acceleration = slope of v-t graph ( given in Fig)

therefore;

acceleration = tan theta = BD/AD

acceleration = v-u / t

hence;

a = v-u / t

cross multiply

at = v-u

v = u + at