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Q. No.Rain falls vertically at the speed of \(30~\text{m/s}.\) A woman riding a bicycle with a speed of \(10~\text{m/s}\) in the north-to-south direction. What is the direction in which she should hold her umbrella?
[given: \(\tan 16^{\circ}= 0.29, \& \tan 18^{\circ}= 0.33]\)
| 1. | \(16^{\circ}\) with the vertical, towards the north |
| 2. | \(18^{\circ}\) with the vertical, towards the north |
| 3. | \(16^{\circ}\) with the vertical, towards the south |
| 4. | \(18^{\circ}\) with the vertical, towards south |
Subtopic: Â Relative Motion |
Level 3: 35%-60%
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A man can swim at a speed of \(4.0~\text{km/h}\) in still water. How long does he take to cross a river \(1.0~\text{km}\) wide if the river flows steadily at \(3.0~\text{km/h}\) and he makes his strokes normal to the river current?
1. \(20~\text{min}\)
2. \(18~\text{min}\)
3. \(15~\text{min}\)
4. \(16~\text{min}\)
1. \(20~\text{min}\)
2. \(18~\text{min}\)
3. \(15~\text{min}\)
4. \(16~\text{min}\)
Subtopic: Â Relative Motion |
 71%
Level 2: 60%+
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In a harbor, the wind is blowing at the speed of \(72~\text{km/h},\) and the flag on the mast of a boat anchored in the harbor flutters along the \(N\text-E\) direction. If the boat starts moving at a speed of \(51~\text{km/h}\) to the north, what is the direction of the flag on the mast of the boat?
1. almost due north
2. almost due east
3. almost due west
4. almost due south
Subtopic: Â Relative Motion |
 59%
Level 3: 35%-60%
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