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

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