Question

Derive the kinetic energy formula using the third equation of motion

Answer 1

Explanation:

Using the third equation of motion: v ^ 2 - u ^ 2 = 2as… This statement states that a work W is done by a body to move from one position to another by a distance s when the force F is applied to a body at rest. This work done on the body is because of Kinetic energy (K.E) of the body.

Answer 2

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Derivation of Third Equation of Motion by Graphical Method

S = ½ (Sum of Parallel Sides) × Height.

S=(OA+CB)×OC. Since, OA = u, CB = v, and OC = t. ...

S= ½ (u+v) × t. Now, since t = (v – u)/ a. ...

S= ½ ((u+v) × (v-u))/a. Rearranging the equation, we get.

S= ½ (v+u) × (v-u)/a.

S = (v2-u2)/2a.

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