no idea how to do this one. Chinook salmon are able to move through water especi
ID: 1514061 • Letter: N
Question
no idea how to do this one.
Chinook salmon are able to move through water especially fast 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 velocity 6.83 m/s at 40.5degree above the horizontal, sails through the air a distance l before returning to the water, and then swims the same distance l underwater in a straight, horizontal line with velocity 3.49 m/s before jumping out again. (a) Determine the average velocity of the fish for the entire process of jumping and swimming underwater. (b) Consider the time interval required to travel the entire distance of 2L. By what percentage is this time interval reduced by the jumping/swimming process compared with simply swimming underwater at 3.49 m/s?Explanation / Answer
a)
distance travelled = L = vo^2*sin(2theta)/g
L = 6.83^2*sin81/9.8 = 4.7 m
time taken in jumping t1 = 2*vo*sintheta/g = 2*6.83*sin40.5/9.8 = 0.905 s
time taken in swimming underwater t2 = L/v2 = 4.7/3.49 = 1.35 s
total time t = (0.905+1.35)
average velocity = total displacement / total time
Vavg = (4.7+4.7)/2.255 = 4.17 m/s <<<<----answer
(b)
if the fish swims for 2L
time T = 2L/v2 = 9.4/3.49 = 2.69 s
percentage decrease = (T-t)/T = (2.69-2.255)/2.69 = 16.2 %
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