A boat in the Ganges river is heading East with a velocity of 8 km/h. The river flows South with a velocity of 6 km/h. What is the magnitude of the boat's resultant velocity?
A boat in the Ganges river is heading East with a velocity of 8 km/h. The river flows South with a velocity of 6 km/h. What is the magnitude of the boat's resultant velocity?
- A. 10 km/h
- B. 14 km/h
- C. 2 km/h
- D. 100 km/h
Answer: A) 10 km/h
Explanation: Boat velocity v_b = 8î. River velocity v_r = −6ĵ. Resultant v = 8î − 6ĵ. Magnitude = √(8² + (−6)²) = √(64 + 36) = √100 = 10 km/h.
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