Equations of uniformly accelerated motion

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

v         a

Equations of uniformly accelerated motion
Equations of uniformly accelerated motion

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,

Equations of uniformly accelerated motion
Equations of uniformly accelerated motion
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