A shell is fired vertically upward with an initial velocity of 2000 ft/s. It is timed to burst in 7 seconds. Four seconds after firing the first shell, a second shell is fired with the same velocity. This shell is time to burst in 5 seconds. An observer stationed in a captive balloon near the line of fire hears both burst at the same instant. Assuming the velocity of sound to be 1100 ft/s, what is the elevation or height of the balloon?

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A shell is fired vertically upward with an initial velocity of 2000 ft/s. It is timed to burst
in 7 seconds. Four seconds after firing the first shell, a second shell is fired with the
same velocity. This shell is time to burst in 5 seconds. An observer stationed in a
captive balloon near the line of fire hears both burst at the same instant. Assuming the
velocity of sound to be 1100 ft/s, what is the elevation or height of the balloon?

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