This is the second equation of motion. Hence Distance s vu2 v-ua or s v² u²2a. Velocity is defined as the rate of change of displacement.
The second equation of motion is which represents the total distances travelled by an object in a time interval of with an initial speed of and acceleration a.
Distance travelled s Area of figure OABC Area of rectangle OADC Area of triangle ABD sfrac12ABtimes BDOAtimes OC Since BD EA the above equation becomes sfrac12ABtimes EAutimes t As EA at the equation becomes. VelocityfracDisplacementTime Rearranging we get DisplacementVelcoitytimes Time. Because we are only concerned with changes in speed and because the bob is forced to stay in a circular path we apply Newtons equation to the tangential axis only. S 2uat2 X t.