A boat has speed of 12 ms¹ in still water. This boat crosses a river moving at 5 ms at right angle to motion of boat. What is speed of boat in water?
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Speed:12ms-'1
boat:5ms'-1
12x5
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Given : A boat has speed of 12 m/s in still water.
This boat crosses a river moving at 5 m/s at right angle to motion of boat.
To Find : speed of boat in water
Solution:
Speed of boat in still water = 5 m/s
Speed of stream = 12 m/s
Both are perpendicular to each other
Hence resultant magnitude of speed = √5² + 12²
= √25 + 144
= √169
= 13
resultant magnitude of speed is 13 m/s
Addition Info:
Direction wrt to stream = tan⁻¹(12/5) ≈ 67.38°
Resultant direction of boat wrt to stream is 67.38°
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