Two-dimensional Motion
A boat, which has a speed of 10 m/s in still water, is pointed perpendicular to the current of a river flowing at 6 m/s. What is the magnitude of the boat's resultant velocity?
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About This Question
- Subject
- physics
- Chapter
- kinematics
- Topic
- two-dimensional motion
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
11.66 m/s
- Relative Velocity Vector: The boat's actual velocity v is the vector sum of its velocity relative to water vb and the river's velocity vr.
- Direction: Since the boat is pointed perpendicular to the flow:
- v=vb+vr.
- Magnitude (Pythagoras):
- v=vb2+vr2.
- Calculation:
- v=102+62=100+36=136.
- Result: v≈11.66 m/s.
This medium difficulty physics question is from the chapter kinematics, covering the topic of two-dimensional motion. It appeared in the 2025 exam.
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