A 200-m-wide river has a uniform flow speed of 1.1 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 4.0 m/s with respect to the water. There is a clearing on the north bank 82 m upstream from a point directly opposite the clearing on the south bank. (a) In what direction must the boat be pointed in order to travel in a straight line and land in the clearing on the north bank? (b) How long will the boat take to cross the river and land in the clearing?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 7OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air...
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A 200-m-wide river has a uniform flow speed of 1.1 m/s
through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a
powerboat that moves at a constant speed of 4.0 m/s with respect
to the water. There is a clearing on the north bank 82 m upstream
from a point directly opposite the clearing on the south
bank. (a) In what direction must the boat be pointed in order to
travel in a straight line and land in the clearing on the north
bank? (b) How long will the boat take to cross the river and land
in the clearing?

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