InterviewSolution
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InterviewSolution
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Derive the relation ( v^2 - u ^2 = 2 as ) by using graphical method |
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Answer» 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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