A) \[25.5\,m{{s}^{-1}}\]
B) \[25\,m{{s}^{-1}}\]
C) \[24\text{ }m{{s}^{-1}}\]
D) \[10\sqrt{6}\,m{{s}^{-1}}\]
E) \[22\,m{{s}^{-1}}\]
Correct Answer: A
Solution :
A particle moving with uniform acceleration from A to B along straight line has velocities \[{{v}_{1}}\]and\[{{v}_{2}}\]at A and B respectively. If C is the midpoint between A and B then velocity of the particle at C. \[v=\sqrt{\frac{v_{1}^{2}+v_{2}^{2}}{2}}\] \[=\sqrt{\frac{{{(20)}^{2}}+{{(30)}^{2}}}{2}}\] \[=\sqrt{\frac{400+900}{2}}=\sqrt{650}\] \[=25.5\text{ }m{{s}^{-1}}\]
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