Question

. A person attempts to cross a river in a straight line by navigating a boat at 15m/s. If the river flows at 5.0m/s from his left to right, what would be the magnitude of the boat's resultant velocity? In what direction would the boat go, relative to the straight line across it?

Answer 1

The magnitude and the direction the boat go, relative to the straight line

across it is 15.81 m/s and 18⁰ respectively.

Boat's resultant velocity

= √ ( 15² + 5² )

= √ ( 225  + 25 )

= √250

= 15.81 m/s

If boat makes angle θ with direction of flow of river

Tanθ = 15/5 = 3

θ = 72⁰ approx.

Angle with straight line across it = 90 - 72 = 18⁰

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