The engine of a boat drives it across a river that is 238 m wide. The velocity of the boat relative to the water is 14.2 m/s. The velocity of the water with respect to the shore is 2.7 m/s @ East. The driver of the boat wants to travel straight across the river (north). At what angle should the boat’s velocity be directed so that the boat goes straight across the river (with respect to the +x-axis)? (Use as many sig figs as possible even though its an angle.
The engine of a boat drives it across a river that is 238 m wide. The velocity of the boat relative to the water is 14.2 m/s. The velocity of the water with respect to the shore is 2.7 m/s @ East. The driver of the boat wants to travel straight across the river (north). At what angle should the boat’s velocity be directed so that the boat goes straight across the river (with respect to the +x-axis)? (Use as many sig figs as possible even though its an angle.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.3P: If a projectile is fired from the origin of the coordinate system with an initial velocity υ0 and in...
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The engine of a boat drives it across a river that is 238 m wide. The velocity of the boat relative to the water is 14.2 m/s. The velocity of the water with respect to the shore is 2.7 m/s @ East. The driver of the boat wants to travel straight across the river (north). At what angle should the boat’s velocity be directed so that the boat goes straight across the river (with respect to the +x-axis)? (Use as many sig figs as possible even though its an angle.)
Expert Solution
Step 1
Width of river
Velocity of boat relative to water
Velocity of water
Step 2
The velocity of boat relative to water will be given by;
Therefore, velocity of boat relative to shore will be;
Therefore, magnitude of velocity of boat will be;
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