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 6.23 m/s at 46.6° 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 2.22 m/s before jumping out again. (a) What is the fish's average horizontal velocity (in m/s) between jumps? (Round your answer to at least 2 decimal places.) m/s (b) 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 2.22 m/s? Express the reduction as a percentage. % reduction (c) What If? Some salmon are able to jump a distance L out of the water while only swimming a distance between jumps. By what percentage are these salmon faster than those requiring an 4 underwater swim of distance L? (Assume the salmon jumps out of the water with velocity 6.23 m/s at 46.6° above the horizontal, re-enters the water a distance L upstream, and then swims a distance underwater in a straight, horizontal line with velocity 2.22 m/s before jumping out again.)
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 6.23 m/s at 46.6° 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 2.22 m/s before jumping out again. (a) What is the fish's average horizontal velocity (in m/s) between jumps? (Round your answer to at least 2 decimal places.) m/s (b) 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 2.22 m/s? Express the reduction as a percentage. % reduction (c) What If? Some salmon are able to jump a distance L out of the water while only swimming a distance between jumps. By what percentage are these salmon faster than those requiring an 4 underwater swim of distance L? (Assume the salmon jumps out of the water with velocity 6.23 m/s at 46.6° above the horizontal, re-enters the water a distance L upstream, and then swims a distance underwater in a straight, horizontal line with velocity 2.22 m/s before jumping out again.)
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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 6.23 m/s at 46.6°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 2.22 m/s before jumping out again.
(a) What is the fish's average horizontal velocity (in m/s) between jumps? (Round your answer to at least 2 decimal places.)
Answer:...........m/s
(b) 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 2.22 m/s? Express the reduction as a percentage.
Ansewer:............... % reduction
(c)What If? Some salmon are able to jump a distance L out 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 6.23 m/s at 46.6° 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 2.22 m/s before jumping out again.)
Answer: ...........% faster
Transcribed Image Text: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 6.23 m/s at 46.6°
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 2.22 m/s before jumping out again.
(a) What is the fish's average horizontal velocity (in m/s) between jumps? (Round your answer to at least 2 decimal places.)
m/s
(b) 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 2.22 m/s? Express
the reduction as a percentage.
% reduction
(c) What If? Some salmon are able to jump a distance L out of the water while only swimming a distance
between jumps. By what percentage are these salmon faster than those requiring an
4
underwater swim of distance L? (Assume the salmon jumps out of the water with velocity 6.23 m/s at 46.6° above the horizontal, re-enters the water a distance L upstream, and then swims a
distance
underwater in a straight, horizontal line with velocity 2.22 m/s before jumping out again.)
% faster
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