Hitting A Target

Classical Mechanics Level pending

The velocity of an arrow shot from a bow is \(\displaystyle 120 \frac{m}{s}\) at an angle of \(\displaystyle \frac{\pi}{6}\) radians from the horizontal. A target is placed some distance from where the arrow is fired. Assuming the marksman never misses a target, how far is the target from the point where the arrow was fired? Round your answer to the nearest meter.

Assumptions: There is no wind resistance, the terrain is flat and the acceleration due to gravity is \(\displaystyle 10\frac{m}{s^{2}}\)

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