A boat crosses a river of width 160.0 m in which the current has a uniform speed of 1.50 m/s to the East. The pilot maintains a bearing perpendicular to the river (southward relative to the water) and a throttle setting to give a constant speed of 2.00 m/s relative to the water. 1. What is the resultant velocity of the boat relative to a stationary observer on the shore? 2. How much time does it take to cross the river? 3. How far downstream from the initial position is the boat when it reaches the opposite shore?
A boat crosses a river of width 160.0 m in which the current has a uniform speed of 1.50 m/s to the East. The pilot maintains a bearing perpendicular to the river (southward relative to the water) and a throttle setting to give a constant speed of 2.00 m/s relative to the water. 1. What is the resultant velocity of the boat relative to a stationary observer on the shore? 2. How much time does it take to cross the river? 3. How far downstream from the initial position is the boat when it reaches the opposite shore?
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Transcribed Image Text:A boat crosses a river of width 160.0 m in which the current has a uniform speed of 1.50 m/s to the East. The
pilot maintains a bearing perpendicular to the river (southward relative to the water) and a throttle setting to
give a constant speed of 2.00 m/s relative to the water.
1. What is the resultant velocity of the boat relative to a stationary observer on the shore?
2. How much time does it take to cross the river?
3. How far downstream from the initial position is the boat when it reaches the opposite shore?
Expert Solution
Step 1
Given data:
The width of the river is,
w= 160 m
Speed of the current is,
v1 = 1.50 m/s
Speed of the boat is,
v2= 2 m/s
Formula used:
The relation between speed, time, and distance is,
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