PRACTICE IT Use the worked example above to help you solve this problem. The boat in the figure is heading due north as it crosses a wide river with a velocity of 15.0 km/h relative to the water. The river has a uniform velocity of 4.90 km/h due east. Determine the velocity of the boat with respect to an observer on the riverbank. magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. km/h direction EXERCISE east of north HINTS: GETTING STARTED I I'M STUCK! Suppose the river is flowing east at 3.40 m/s and the boat is traveling south at 4.10 m/s with respect to the river. Find the speed and direction of the boat relative to Earth. speed X Draw a picture imagining that the river has a coordinate frame moving with it. Where is the origin at t = 0? Where is the origin at t = 1 s? Now imagine that the boat is moving relative to 0? Where is the boat at t = 1 s? Relative this moving coordinate frame. Where is the boat at t= to a fixed coordinate frame on the Earth, how far and in what direction has the boat moved during this 1-second time interval? Therefore, what is its velocity relative to the Earth? m/s direction Your response differs from the correct answer by more than 10%. Double check your calculations. south of east