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Question: A stone falls from a balloon that is descending at a uniform rate of\(12m/s\). The displacement of t...

A stone falls from a balloon that is descending at a uniform rate of12m/s12m/s. The displacement of the stone from the point of release after 10 sec is

A

490 mm

B

510 mm

C

610 mm

D

725 mm

Answer

610 mm

Explanation

Solution

u=126mum/su = 12\mspace{6mu} m/s, g=9.86mum/sec2g = 9.8\mspace{6mu} m/\sec^{2}{}, t=106musect = 10\mspace{6mu}\sec

Displacement =ut+12gt2= ut + \frac{1}{2}gt^{2}

=12×10+12×9.8×100=610m= 12 \times 10 + \frac{1}{2} \times 9.8 \times 100 = 610m