Chinook salmon can cover more distance in less time by periodically making jumps out of the water. Suppose a salmon swimming in still water jumps out of the water with velocity 6.03 m/s at 40.6° above the horizontal, re-enters the water a distance L upstream, and then swims the same distance L underwater in a straight, horizontal line with velocity 2.92 m/s before jumping out again. What is the fish's average horizontal velocity (in m/s) between jumps? (Round your answer to at least 2 decimal places.) Consider the interval of time necessary to travel 2L. How is this reduced by the combination of jumping and swimming compared with just swimming at the constant speed of 92m/s? Express the reduction as a percentage. What If? Some salmon are able to jump a distance Lout of the water while only swimming a distance L/4 between jumps. By what percentage are these salmon faster than those requiring an underwater swim of distance L? (Assume the salmon jumps out of the water with velocity 03m/s at 40.6° above the horizontal, re-enters the water a distance L upstream, and then swims a distance L/4 underwater in a straight, horizontal line with velocity 2.92 m/s before jumping out again.)

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Chapter1: Units, Trigonometry. And Vectors
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Chinook salmon can cover more distance in less time by periodically making jumps out of the water. Suppose a salmon swimming in still water jumps out of the water with velocity 6.03 m/s at 40.6° above the horizontal, re-enters the water a distance L upstream, and then swims the same distance L underwater in a straight, horizontal line with velocity 2.92 m/s before jumping out again.

  1. What is the fish's average horizontal velocity (in m/s) between jumps? (Round your answer to at least 2 decimal places.)
  2. Consider the interval of time necessary to travel 2L. How is this reduced by the combination of jumping and swimming compared with just swimming at the constant speed of 92m/s? Express the reduction as a percentage.
  3. What If? Some salmon are able to jump a distance Lout of the water while only swimming a distance L/4 between jumps. By what percentage are these salmon faster than those requiring an underwater swim of distance L? (Assume the salmon jumps out of the water with velocity 03m/s at 40.6° above the horizontal, re-enters the water a distance L upstream, and then swims a distance L/4 underwater in a straight, horizontal line with velocity 2.92 m/s before jumping out again.)
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