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Question

Derive second and third equation of motion(mathematically

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Solution

Let the distance travelled by the body be S.We know thatDistance = Average velocity × TimeAlso, Average velocity =u+v2Distance = u+v2 × t ......................................(1)Again we know thatv = u + atsubstituting this value of v in eq.(1), we getDistance = u+u+at2 × tS = 2ut +at22S = ut + 12at2this is second equation of motion . Now let's derive third eqation of motionFrom the first equation of motion v = u + a tt =v-uaAverage velocity is given as = v+u2Distance = Average velocity × TimeS =v+u2 ×v-uaS = v2 - u22av2 = u2 + 2asThis is third equation of motion

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