Kinematics Question 407

Question: A ball dropped from a point A falls down vertically to C, through the midpoint B. The descending time from A to B and that from A to C are in the ratio

Options:

A) 1 : 1

B) 1 : 2

C) 1 : 3

D) $ 1:\sqrt{2} $

Show Answer

Answer:

Correct Answer: D

Solution:

For A to B $ S=\frac{1}{2}gt^{2}\text{ }….\text{(i)} $ For A to C $ \text{S=}\frac{1}{2}gt{{’}^{2}}\text{ }….\text{(ii)} $ Dividing (i) by (ii) we get $ \frac{t}{t’}=\frac{1}{\sqrt{2}} $



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