V(Final Velocity)=U(Initial Velocity)+a(acceleration)*t(time)?

Question

How do I prove this?

Answer 1

It is actually the definition of acceleration. Acceleration is the rate of change of velocity.

acceleration a = final velocity - initial velocity/time taken

Transposing u get the v = u + at, what more proof is required?

Answer 2

The actual equation for final velocity of a mass in motion is determined form the Energy equation and divide it by the mass and then take the Square root.

The formula for The energy is = E=mass x a^2 x t^2.
Where a =the instantaneous acceleration and t=the time value at that instant that the mass travels.
So the Final velocity of a moving mass can only be accurately determined from the Final value of the Energy of the moving mass.

V final = (u=0) + a x t where u is set to zero relative to the frame of reference where the velocity is measured from.
moving frame of reference .

Hence velocity can only be measured if the frame of reference is set to Zero even though U is the velocity of the frame of reference.It is relative.

Acceleration is =defined as the distance a force travels divided by the period of oscillation square of the moving mass structure.

Answer 3

You mean v = u +at.

You don't prove it. It's the definition of acceleration.