Question

3. Prove that s= ut+ -t2 by graphical method​

Answer 1

Answer:

Hope it helps you......(✿◕‿◕✿)

Explanation:

Let us suppose that u is the initial velocity of the particle , at time t=0 , and v be the velocity of the particle at t = t ,

the acceleration a 0f the particle can be written as ,

a = v-u / t-0

=> at = v-u

=> v = u + at

this is the 1st kinetic equations for uniformly acceleration motion.

suppose, the particle travels a distance x in the time t.

they are of blue colored part gives the distance covered x (image below)

so,

x = ut + 1/2(v-u)*t = ut + 1/2at*t

=> x = ut + 1/2at^2

Hence proved s = ut + 1/2at^2

Please refer the attachment for the graph...