An arrow is shot into the air and moves along the parabolic path y=x(50-x) (see figure). The horizontal component of velocity is always 80 ft/s. What is the vertical component of velocity when (1) x= 15 and (ii) x= 35? (1) Calculate the derivative of y=x(50-x) with respect to time. dy dy dx dt dx dt = The vertical component of velocity at x = 15 is (Simplify your answer.) dy (ii) The vertical component of velocity at x = 35 is (Simplify your answer.) ▼ 600 400- 200- 0 10 20 30 40 50

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