Chapter 3, Problem 50AP

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# Chinook salmon are able to move upstream faster by jumping out of the water periodically; this behavior is called porpoising. Suppose a salmon swimming in still water jumps out of the water with a speed of 6.26 m/s at an angle of 45°, sails through the air a distance L before returning to the water, and then swims a distance L underwater at a speed of 3.58 m/s before beginning another porpoising maneuver. Determine the average speed of the fish.

To determine
The average speed of the fish.

Explanation

The vertical component of the salmonâ€™s velocity as it leaves water is,

v0y=v0sinÎ¸

Here,

v0 is the initial velocity

Î¸ is the angle with which the salmon jump

Substitute 6.26â€‰m/s for v0 and 45.0Â° for Î¸ .

v0y=(6.26â€‰m/s)sin45.0Â°=4.43â€‰m/s

The vertical component of the salmonâ€™s velocity as it returns to the water level is,

vy=âˆ’v0y=âˆ’4.43â€‰m/s

The time salmon is out of the water is,

t1=vyâˆ’v0yay

Here,

vy is the vertical component of the velocity

v0y is the vertical component of the initial velocity

ay is the vertical acceleration

Substitute âˆ’4.43â€‰m/s for vy , 4.43â€‰m/s for v0y and âˆ’9.80â€‰m/s2 for ay .

t1=âˆ’4.43â€‰m/sâˆ’4.43â€‰m/sâˆ’9.80â€‰m/s2=0.904â€‰s

The distance travelled horizontally during this time is,

L=v0xt1=(v0cosÎ¸)t1

Substitute 6

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