A river flows due east at 2.0 m/s.A boat crosses the 300 m-wide river by maintaining a constant velocity of 10 m/s due north relative to the water.If no correction is made for the current,how far downstream does the boat move by the time it reaches the far shore?
A) 6 m
B) 30 m
C) 60 m
D) 90 m

Question

Quizplus · Accepted Answer

The boat's velocity can be broken down into two components: a northward velocity of 10 m/s and an eastward velocity due to the river's current of 2 m/s. 
The time it takes for the boat to cross the river is given by t=300m/10m/s=30s. 
During this time, the boat will also drift downstream due to the river's current. The distance it drifts downstream is given by d=vt=(2m/s)(30s)=60m. 
Therefore, the answer is C, 60m.

A River Flows Due East at 2