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Solved: A physics teacher performing an outdoor
Chapter 2, Problem 88P(choose chapter or problem)
Problem 88P
A physics teacher performing an outdoor demonstration suddenly falls from rest off a high cliff and simultaneously shouts “Help.” When she has fallen for 3.0 s, she hears the echo of her shout from the valley floor below. The speed of sound is 340 m/s. (a) How tall is the cliff? (b) If we ignore air resistance, how fast will she be moving just before she hits the ground? (Her actual speed will be less than this, due to air resistance.)
Questions & Answers
QUESTION:
Problem 88P
A physics teacher performing an outdoor demonstration suddenly falls from rest off a high cliff and simultaneously shouts “Help.” When she has fallen for 3.0 s, she hears the echo of her shout from the valley floor below. The speed of sound is 340 m/s. (a) How tall is the cliff? (b) If we ignore air resistance, how fast will she be moving just before she hits the ground? (Her actual speed will be less than this, due to air resistance.)
ANSWER:
Solution 88P
Step 1:
Height of the cliff = h
Time taken to hear the echo (t) = 3s
Velocity of sound (v) = 340 m/s
The distance travelled by the sound = 2h - S
Where s is the distance covered by the teacher during 3s
Problem (a)
Step 1:
To find the height the cliff
S = =
= 44.1m
S = 44.1m