How high can salmon jump above water?

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Salmon can jump above water by swimming straight upward at an initial velocity of 5 meters per second. This velocity decreases due to gravitational acceleration, which is approximately 9.8 meters per second squared. To determine the maximum height, one must calculate the time it takes for the salmon's velocity to reach zero using the kinematic formula. The height can then be calculated using the formula for distance under constant acceleration. The discussion emphasizes applying these physics principles to solve the problem effectively.
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hi everyone! ok so i was doing my homework and i came upon this one problem which completely stummped me and so if someone could set me in the right direction i would be very thankful! here is the promblem: If a salmon swims sraight upward in the water fast enough to break through the suface at a speed of 5 meters per second, how high can it jump above water?
 
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Its initial velocity is 5m/s. This will steadily decrease because it is acted upon by constant acceleration g. Figure out using the kinematic formula for velocity as a function of time (with constant accleration) how long it will take for its velocity to become zero (in mid air). And then, use this time in the formula for the height of the salmon as a function of time to get the maximum height it reaches.
 
Pretty straight forward. Assume it jumps straight up out of the water [90 degrees]. Next apply the gravitational constant [9.8 meters/sec^2] and do the math.
 
V^2 = {V_o}^2 + 2ad

solve for d

\frac{-{V_o}^2}{2a} = d
 

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