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Q. No.Rain is falling vertically with a speed of \(35~\text{ms}^{-1}\). Winds starts blowing after sometime with a speed of \(12~\text{ms}^{-1}\) in east to west direction. At what angle should a boy waiting at a bus stop hold his umbrella?
| 1. | \(16^{\circ}\) with the vertical |
| 2. | \(15^{\circ}\) with the vertical |
| 3. | \(19^{\circ}\) with the vertical |
| 4. | \(19^{\circ}\) with the horizontal |
Subtopic: Â Relative Motion |
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Level 2: 60%+
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A motorboat is racing towards the north at \(25\) km/h and the water current in that region is \(10\) km/h in the direction of \(60^\circ\) east of the south. The resultant velocity of the boat is:
| 1. | \(12\) km/h at \(23 . 4^\circ\) east of west |
| 2. | \(22\) km/h at \(23 . 4^\circ\) north of east |
| 3. | \(22\) km/h at \(23 . 4^\circ\) east of north |
| 4. | \(20\) km/h at \(23 . 4^\circ\) north of west |
Subtopic: Â Relative Motion |
Level 3: 35%-60%
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Rain is falling vertically with a speed of \(35\) m/s. A woman rides a bicycle with a speed of \(12\) m/s in the east-to-west direction. What is the direction in which she should hold her umbrella?
| 1. | in the vertical direction only. |
| 2. | \(19^\circ\) with vertical towards east. |
| 3. | \(19^\circ\) with vertical towards the west. |
| 4. | \(19^\circ\) with vertical towards the south. |
Subtopic: Â Relative Motion |
 59%
Level 3: 35%-60%
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