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A motorboat whose speed in still water is 2.60 m/s must aim upstream at an angle of
Chapter 3, Problem 45P(choose chapter or problem)
Problem 45P
A motorboat whose speed in still water is 2.60 m/s must aim upstream at an angle of 28.5° (with respect to a line perpendicular to the shore) in order to travel directly across the stream. (a) What is the speed of the current? (b) What is the resultant speed of the boat with respect to the shore? (See Fig. 3–28.)
FIGURE 3–28 To move directly across the river, the boat must head upstream at an angle θ. Velocity vectors are shown as green arrows:
= velocity of Boat with respect to the Shore,
= velocity of Boat with respect to the Water,
= velocity of Water with respect to the Shore (river current).
Questions & Answers
QUESTION:
Problem 45P
A motorboat whose speed in still water is 2.60 m/s must aim upstream at an angle of 28.5° (with respect to a line perpendicular to the shore) in order to travel directly across the stream. (a) What is the speed of the current? (b) What is the resultant speed of the boat with respect to the shore? (See Fig. 3–28.)
FIGURE 3–28 To move directly across the river, the boat must head upstream at an angle θ. Velocity vectors are shown as green arrows:
= velocity of Boat with respect to the Shore,
= velocity of Boat with respect to the Water,
= velocity of Water with respect to the Shore (river current).
ANSWER:
Solution
Step 1 of 3
In this problem, we have to calculate the speed of the current also the resultant speed. The given data is where angle and the speed in still water is .
