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Calculate the time taken for a mango fruit that fall from th...

Calculate the time taken for a mango fruit that fall from the tree 20 m to the ground [g = 10 ms^-2]

A.

10s

B.

5s

C.

4s

D.

2s

View answer & explanation

Correct answer is D

u = , H = 20, g = 10

From equation of motion under gravity

H = ut ± $\frac{1}{2}$ gt², It is falling so g is +ve

H = 0 + $\frac{1}{2}$ gt²

H = $\frac{1}{2}$ gt²

2H = gt²

$\frac{2H}{g}$ = t²

t = $\frac{\sqrt{2H}}{g}$

= $\frac{\sqrt {2 \times 20}}{10}$

= √4

= 2s

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