Question

In the given figure river water is flowing at 4 m/s. A boat is steered at angle 127° from the direction of flow of river. Width of river is 1560 m, and velocity of boat in still water is 5 m/s. Find drift of boat in river (in km).

Answer 1

0.39

Answer 2

1. Resolve the boat's velocity in still water into components parallel and perpendicular to the river flow direction using the given angle.

2. Add the river velocity vector to the boat's velocity in still water vector to find the boat's velocity relative to the ground.

3. Use the component of the boat's velocity perpendicular to the river flow and the width of the river to calculate the time taken to cross the river.

4. Use the component of the boat's velocity parallel to the river flow and the time taken to cross to calculate the drift.

5. Convert the drift from meters to kilometers.