AP Physics 1

Relative Velocity Crossing a River Problem

In the diagram, a riverboat is shown starting at position A on the east bank of a river. The boat heads towards position B (a point directly across the river from A) with a speed of 3.8 m/s. But because of a current with a speed of 1.8 m/s, the boat lands on the west bank of the river at position C, a location downstream from B. The width of the river (d across) is 86.4 meters. Find the following:
a) The Velocity of the boat (including direction)
b) The time required to cross the river
c) Location C is the location where the boat ultimately lands on the opposite shore. What is the distance from location B to location C.

River Crossing