Prove that:v²= u² + 2as What is the formula to calculate distance moved.

If the velocity of a bicycle is 15m/s, how long will it take to cover a distance of 18 kilometres.

To prove:

v^2 =u^2 + 2as

we have,

a = v-u/t

or, t= v- u/a(i)

Again,

s = u + v /2*t( ii )

Substitutung the value of 't' from equation (i) in equation ( ii ) , we have,

s= (u+v/2) * ( v- u/a)

or, s=(v^2 - u^2) /2a

or, 2as = v^2 - u^2

therefore,

v^2= u^2 + 2as

proved...