3. A boat crossing a wide river moves with a speed of 14.0 km/h relative to the

Question

3. A boat crossing a wide river moves with a speed of 14.0 km/h relative to the water. The water in the river has a steady speed of 8.00 km/h due south relative to the earth. a) If the boat heads due east, determine the speed of the boat relative to an observer standing on the shore. km/h 4. b) What is the angle made between the velocity of the boat relative to the observer and the east direction? 5. c) At what angle must the boat be headed with respect to the east direction in order for it to proceed east as seen by the observer on the shore?

Explanation / Answer

3a] speed of boat = sqrt(14^2+ 8^2) = 16.1 km/h

4b] angle = arctan(8/14) = 29.7 degree

5c] 14 sin theta = 8

theta = arcsin [8/14] = 34.85 degree

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