Q1. A Toyota Prius driving north at 59.0 and the VW Passat driving south at 37.0 are on the same road heading toward each other (but in different lanes). (We take the positive direction to be north.)
Q2. A child in danger of drowning in a river is being carried downstream by a current that has a speed of 2.75 km/hr. The child is 0.560 km from shore and 0.750 km upstream of a boat landing when a rescue boat sets out. If the boat proceeds at its maximum speed of 20.1 km/hr relative to the water, what heading relative to the shore must the pilot take?