Question

Using the concept of distance time graph derive the relation v=u+at.​

Answer 1

Let an object is moving with uniform acceleration.

u = initial velocity of object

v = final velocity of object

a = uniform acceleration

Let object reaches at point B after time (t) Now, from the graph

Slope = Acceleration (a) = time change in vvelocit

Change in velocity = AB = v - u

Time = AD = t

a = v - u/t

Solving we get

v = u + at.........(1st equation of motion)