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Q.

A body moving with a uniform acceleration had velocities of 30m/s & 40m/s when passing the points P & Q of its path find the velocity midway between P & Q in m/s is

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a

$25 \sqrt{2}$

b

35

c

50

d

$\frac{\sqrt{50}}{2}$

answer is C.

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Detailed Solution

$\begin{array}{l} V^{1} = \sqrt{\frac{u^{2} + v^{2}}{2}} = \sqrt{\frac{30^{2} + 40^{2}}{2}} = \frac{50}{\sqrt{2}} {ms}^{- 1} \\ = 25 \sqrt{2} {ms}^{- 1} \end{array}$

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