As a prank, someone drops a water-filled balloon out of a window. The balloon is released from rest at a height of 17.1 m above the ears of a man who is the target. Then, because of a guilty conscience, the prankster shouts a warning after the balloon is released. The warning will do no good, however, if shouted after the balloon reaches a certain point, even if the man could react infinitely quickly. Assuming that the air temperature is 20.0 °C and ignoring the effect of air resistance on the balloon, determine how far above the man's ears this point is.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter13: Mechanical Waves
Section: Chapter Questions
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As a prank, someone drops a water-filled balloon out of a window. The balloon is released from rest at a height of 17.1 m above the
ears of a man who is the target. Then, because of a guilty conscience, the prankster shouts a warning after the balloon is released. The
warning will do no good, however, if shouted after the balloon reaches a certain point, even if the man could react infinitely quickly.
Assuming that the air temperature is 20.0 °C and ignoring the effect of air resistance on the balloon, determine how far above the
man's ears this point is.
Transcribed Image Text:As a prank, someone drops a water-filled balloon out of a window. The balloon is released from rest at a height of 17.1 m above the ears of a man who is the target. Then, because of a guilty conscience, the prankster shouts a warning after the balloon is released. The warning will do no good, however, if shouted after the balloon reaches a certain point, even if the man could react infinitely quickly. Assuming that the air temperature is 20.0 °C and ignoring the effect of air resistance on the balloon, determine how far above the man's ears this point is.
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