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Solving kinematic equations for horizontal projectiles

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Problem

A volcano erupts, and a chunk of hot magma is launched horizontally with a speed of 208ms from a height of 94m. We can ignore air resistance.
A volcano is erupting on the left side. A grey arrow extends horizontally from a red dot near the top of the volcano and curves downward to the ground on the right.
Two grey arrows cross to the upper left of the image. One points upward and is labeled "+y". The other points rightward and is labeled "+x".
What is the magma's horizontal displacement from the launch to when it hits the ground?
Round your answer to three significant digits.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
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