Afisherman hooks a trout and reels in his line at speed of 4 inches/second. assume tip of fishing rod is 12 ft above the water directly above the fisherman and the fish is pulled horizontally directly towards the fisherman. find the horizontal speed of the fish when it is 20 ft from the fisherman.

v = 4.66 inch/s

Explanation:

As we know that the height of the rod and the distance from the fisherman is related to each other as

now differentiate it with respect to time

here we know that

now when

x = 20 ft  and y = 12 ft then the length of the line is given as

now from above relation

now we have

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explanation:

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.