Standing on a vast flat plain, an archer shoots an arrow into the air, at a speed of 50 ft/sec, and at an angle 0 above the horizontal. How far does the arrow travel before it hits the ground, as a function of 0?(The acceleration due to gravity is 32 ft/sec?.) At what ang e should the archer shoot the arrow so that it trai els as far as possible? What is the maximum dist nce?

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