Question

Useing the consept of distance time graph derived the relation v=u+at

Answer 1

let 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 velocity

change in velocity=AB= v-u

Time = AD= t

a= v-u/t

solving it we gets

v= u+at

which is the first equation of motion.