Physics Two Dimensional Motion Question 197

Question: A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water in $ km/hr, $ is

Options:

A) 3 B)4 C) $ \sqrt{21} $ D)1

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Answer:

Correct Answer: A

Solution:

[a] Speed along the shortest path $ =\frac{1}{15/60}=\text{4 km/hr} $ Speed of water $ \text{v}=\sqrt{5^{2}-4^{2}}=3\text{ km/hr} $