This is the algebra based derivation of the linear equations of motion. To calculate quantities involving motion in a straight line at a constant acceleration we need four equations. Here DOEB is a trapezium.
For Third equation of motion.
Mathematical derivation of equations of motion Motion of Class 9 When the body is moving along a straight line with uniform acceleration a relation can be established between velocity of the body acceleration of the body and the distance travelled by the body in a specific time by a set of equations. We can derive three equations of motion using definitions. S area of trapezium DOEB. We will derive equations for the following 5 motion quantities.