
Concept explainers
(a)
The direction dolphin must head.
(a)

Answer to Problem 88P
The dolphin must head
Explanation of Solution
Consider the positive x direction to be west, and positive y direction to be north.
Figure 1 represents the relative motion of the dolphin with respect to the bay and uniform water current.
Write the expression for velocity of dolphin with respect to bay.
Here,
Write the expression for component of velocity of the dolphin with respect to bay in the x direction.
Here,
From Figure 1 the above equation is written as
Write the expression for component of velocity of the dolphin with respect to bay in the y direction.
Here,
From Figure 1 the above equation can be written as
Since
Conclusion:
Substitute
The dolphin should head
Therefore, the dolphin must head
(b)
The time taken by the dolphin to swim
(b)

Answer to Problem 88P
The time taken by the dolphin to swim
Explanation of Solution
Write the expression for time taken by the dolphin to swim
Here,
From subpart (a),
Use the above condition in equation (V).
Conclusion:
Substitute
Therefore, the time taken by the dolphin to swim
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Chapter 3 Solutions
COLLEGE PHYSICS-CONNECT ACCESS
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