You are climbing in the High Sierra where you suddenly find yourself at the edge

Question

You are climbing in the High Sierra where you suddenly find yourself at the edge of a fog-shrouded cliff. To find the height of this cliff, you drop a rock from the top and 7.80 later hear the sound of it hitting the ground at the foot of the cliff.



A)Ignoring air resistance, how high is the cliff if the speed of sound is 330 ?
Express your answer with the appropriate units.


b)Suppose you had ignored the time it takes the sound to reach you. In that case, would you have overestimated or underestimated the height of the cliff?

Explanation / Answer

time for sound to travel from bottom to top=h/330 so h=.5*g*(t-h/330)^2 so h=.5*10*(7.8-h/330)^2 h=5(7.8-h/330)^2 so solving quadratic eqn h=248 m(ans) ignoring sound vel;; h1=.5*10*7.8^2=304.2 m

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.