A cannon at an elevation of 2000 feet above sea level fires a missile upward at an angle of 45 degrees to hit a target on a boat at sea on the far side of a mountain. The missile just barely clears the top of the mountain and hits the target. The cannon is 5 horizontal miles from the top of the mountain. Ignore air resistance. a. Determine the firing velocity of the missile. b. Determine the height of the mountain. c. Determine the total range of the missile (distance from cannon to target)

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A cannon at an elevation of 2000
feet above sea level fires a missile
upward at
an angle of 45 degrees to hit a
target on a boat at sea on the far
side of a mountain. The
missile just barely clears the top of
the mountain and hits the target.
The cannon is 5
horizontal miles from the top of
the mountain. Ignore air
resistance.
a. Determine the firing velocity of
the missile.
b. Determine the height of the
mountain.
c. Determine the total range of
the missile (distance from cannon
to target)
Transcribed Image Text:A cannon at an elevation of 2000 feet above sea level fires a missile upward at an angle of 45 degrees to hit a target on a boat at sea on the far side of a mountain. The missile just barely clears the top of the mountain and hits the target. The cannon is 5 horizontal miles from the top of the mountain. Ignore air resistance. a. Determine the firing velocity of the missile. b. Determine the height of the mountain. c. Determine the total range of the missile (distance from cannon to target)
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