Question

the velocity of the stream and boat are 6 & 12 km per hour.the width of the river is 10 km.to cross the river across to the shortest distance,in which direction the boat has to move??

Answer 1

Answer on Question # 47391, Physics, Mechanics | Kinematics | Dynamics

Task:

the velocity of the stream and boat are 6 & 12 km per hour. the width of the river is 10 km.to cross the river across to the shortest distance, in which direction the boat has to move??

Answer:

$\widetilde{V}_b = 12km / h;$

$\widetilde{V}_r = 6km / h;$

The boat is moving at an angle relative to the perpendicular-line that connects two points on opposite banks, because the current will always reject at a small angle to the direction of flow. Let the angle is $\alpha$ , so $\sin \alpha = \frac{6}{12} \Rightarrow \alpha = \arcsin \frac{1}{2}$ .

Therefore the boat is moving at an angle $\alpha = 30{}^{\circ}$ against the direction of traffic flow.

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