Question

PROVE THAT THE V=u+at by two method

Answer 1

Before getting to the derivation. Note that, acceleration (a) is nothing but rate of change of velocity. Framing up this sentence as a equation we get

acceleration (a) = rate of change in velocity (or) change in velocity per unit time = change in velocity/time …………………………………..eq(1)

Let us assume the initial velocity to be ‘u' and final velocity be ‘v' and the taken to attain the final velocity from the initial be ‘t'

Therefore, change in velocity = v-u

Now equation (1) becomes,

→a=(v-u )/t

→at=v-u

And therefore, v=u+at