A particle moving in a straight line covers half the distance with speed \(6\mathrm{m}/\mathrm{s}\). The other half is c…
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A particle moving in a straight line covers half the distance with speed \(6\mathrm{m}/\mathrm{s}\). The other half is covered in two equal time intervals with speeds \(9\mathrm{m}/\mathrm{s}\) and \(15\mathrm{m}/\mathrm{s}\) respectively. The average speed of the particle during the motion is :
[JEE Main 2024, 9 Apr (Shift 1)]
✓ Correct answer: a)
\(8\mathrm{m}/\mathrm{s}\)
Explanation
\({V}_{avg}=\frac{S}{\frac{S}{2{v}_{1}}+\left(\frac{S}{{v}_{2}+{v}_{3}}\right)}\)
\({V}_{avg}=\frac{2{v}_{1}\left({v}_{2}+{v}_{3}\right)}{{v}_{2}+{v}_{3}+2{v}_{1}}\\\)
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