Equations of uniformly accelerated motion
First equation of motion. Suppose a body which is already moving with a velocity of u in ml begins to accelerate at the rate of a in m/s2. The velocity will now nicer -, by the numerical value of a in m/s for each second that it moves. The increase
velocity in a time t in s will therefore be equal to at.
Hence the final velocity after a time t is given by…………
This is called the first equation of motion.
Second equation of motion. If a body is moving with uniform acceleration its average velocity is equal to half the sum of the initial velocity u, and the final velocity
This is known as the second equation of motion.
Third equation of motion. A useful third equation can be obtained by eliminating t between the first two equations. Squaring both sides of the equation, v = u + at, we obtain.
Taking out the factor 2a from the last two terms of the right-hand side,