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Maximum range for a thrown ball

A ball is thrown with a velocity of 40 m/s at an angle x above the horizontal. If the ball attains its maximum range, what was the value of the angle x?

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Maximum range is determined by two parameters, one is the hang time of the ball and other one is the horizontal component of the velocity of the ball. if x is small(lets say less than 45), horizontal component of the velocity will be large. However the hang time will be very small and ball would not travel ...

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