Suppose a Chinook salmon needs to jump a waterfall that is1.50 m high. If the fi

Question

Suppose a Chinook salmon needs to jump a waterfall that is1.50 m high. If the fish starts from adistance 1.00 m from the base of the ledgeover which the waterfall flows, find the x- andy-components of the initial velocity the salmon would needto just reach the ledge at the top of its trajectory. (Assume that a Chinook salmon can jump out of the water with aspeed of 6.26 m/s.) I did it out the way the textbook solutions said, usingthe different numbers my teacher provided, and my answer wasincorrect. Suppose a Chinook salmon needs to jump a waterfall that is1.50 m high. If the fish starts from adistance 1.00 m from the base of the ledgeover which the waterfall flows, find the x- andy-components of the initial velocity the salmon would needto just reach the ledge at the top of its trajectory. (Assume that a Chinook salmon can jump out of the water with aspeed of 6.26 m/s.) I did it out the way the textbook solutions said, usingthe different numbers my teacher provided, and my answer wasincorrect.

Explanation / Answer

      initial velocity, u = 6.26m/s       angle of projection =       horizontal displacement ,X = 1m       vertical displacement = maximumheight  , h = 1.5 m       maximum height, h =(uy) 2 / 2g                 u y = (2gh) = ( 2 X 9.8 X 1.5 ) = 5.42m/s       time taken to reach maxheight, t = u y / g = 5.42 / 9.8 = 0.553 s       horizontal displacement, x= (u x) t                         ux = x / t = 1/ 0.553 = 1.8 m/s       x-componenet of initialvelocity,   u x = 1.8 m/s       y-componenet of initialvelocity,   u y=  5.42 m/s

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