Question

Answer the following question briefly :
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

= final velocity of object

= uniform acceleration

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

Slope = Acceleration (a)=

change in velocity/time

Change in velocity = AB = v - u

Time = AD = t

=

v−u/at

Solving we get

v=u+at.........

( 1 st equation of motion)