- m 2) An eagle carrying a fish flies with a constant velocity v = (4...

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- m 2) An eagle carrying a fish flies with a constant velocity v = (4 2 ). If the eagle is at a height of 50 m above a lake when it drops the fish, then: (a) write out position functions for the fish in both the horizontal and vertical directions (i.e., x(t) and y(t)) (b) combine these two equations to remove the time dependence to find the trajectory of the fish y(x). Make a sketch of this trajectory (c) How far horizontally will the fish travel from where it was dropped before it hits the water? (d) How long does it take before the fish hits the water? - m 2) An eagle carrying a fish flies with a constant velocity v = (4 2 ). If the eagle is at a height of 50 m above a lake when it drops the fish, then: (a) write out position functions for the fish in both the horizontal and vertical directions (i.e., x(t) and y(t)) (b) combine these two equations to remove the time dependence to find the trajectory of the fish y(x). Make a sketch of this trajectory (c) How far horizontally will the fish travel from where it was dropped before it hits the water? (d) How long does it take before the fish hits the water?