Derive velocity-time relatation (v=u+at) and vposition velocity relation (v2-u2=2as) by using graphical method ​

Naushad Malik Best Answer 1 year ago

initial velocity of the object = uLet the object is MOVING with uniform acceleration, a.Let object reaches at point B after TIME, t and its final velocity becomes, vDraw a line parallel to x-axis DA from point, D from where object starts moving.Draw another line BA from point B parallel to y-axis which meets at E at y-axis.The distance covered by the object moving with uniform acceleration is given by the area of trapezium ABDOTherefore, Area of trapezium ABDOE = 21 × (SUM of parallel sides + distance between parallel sides)Distance(S)= 21 (DO+BE)×OES= 21 (u+v)×t...............(i)we know that,a= tv−u from above equation we can say,t= av−u ...........(ii)After SUBSTITUTING the value of t from equation(ii) in equation (i)S= 2a1 (u+v)(v−u)2aS=(u+v)(v−u)2aS=v 2 −u 2 Hence PROVED.

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