A body falls freely from rest. If at an instant, the velocity acquired is numerically equal to the displacement, then the velocity acquired is:

9.8 m / s

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19.6 m / s

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29.4 m / s

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39.2 m / s

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Solution

The correct option is D $19.6 m / s$
$v^{2} = u^{2} + 2 a s$
$a = g$
$| v | = | s |$
$u = 0$
$v^{2} = 0^{2} + 2 g v$
$v = 2 g$
$| v | = 2 g = 2 \times 9.8 = 19.6 m / s^{2}$

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A body falls freely from rest. If at an instant, the velocity acquired is numerically equal to the displacement, then the velocity acquired is:

The correct option is D 19.6 m/sv2=u2+2asa=g|v|=|s|u=0v2=02+2gvv=2g|v|=2g=2×9.8=19.6 m/s2

The correct option is D $19.6 m / s$
$v^{2} = u^{2} + 2 a s$
$a = g$
$| v | = | s |$
$u = 0$
$v^{2} = 0^{2} + 2 g v$
$v = 2 g$
$| v | = 2 g = 2 \times 9.8 = 19.6 m / s^{2}$