A rescue plane flies horizontally at a constant speed, searching for a disabled boat. When the plane is directly above the boat, the boat’s crew blows a loud horn. By the time the plane’s sound detector perceives the horn’s sound, the plane has travelled a distance equal to one-half its altitude above the ocean. If the sound takes 2.00 s to reach the plane, determine (a) the plane’s altitude and (b) its speed.

A rescue plane flies horizontally at a constant speed, searching for a disabled boat. When the plane is directly above the boat, the boat’s crew blows a loud horn. By the time the plane’s sound detector perceives the horn’s sound, the plane has travelled a distance equal to one-half its altitude above the ocean. If the sound takes 2.00 s to reach the plane, determine (a) the plane’s altitude and (b) its speed.

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

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 55P: A man drops a rock into a well. (a) The man hears the sound of the splash 2.40 s after he releases...

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A student drops a water-filled balloon from the roof of the tallest building in town trying to hit her roommate on the ground (who is too quick). The first student ducks back but hears the water splash 4.021 s after dropping the balloon. If the speed of sound is 331 m/s, find the height of the building, neglecting air resistance.
A man drops a rock into a well. (a) The man hears the sound of the splash 2.40 s after he releases the rock from rest. The speed of sound in air (at the ambient temperature) is 336 m/s. How far below the top of the well is the surface of the water? (b) What If? If the travel time for the sound is ignored, what percentage error is introduced when the depth of the well is calculated?
You place your ear onto a steel railroad track and hear the sound of a distant train through the rails Δt = 3.6 seconds faster than you do through the air. The speed of sound in steel is vs = 6100 m/s while in air the speed of sound is va = 343 m/s. (a) Write an equation for the time it takes the sound to reach you through the air if the distance to the train is represented by D. (b) Write an equation for the time it takes the sound to reach you through the steel if the distance to the train is represented by D. (c) Use the difference in these two times to write an equation for the distance to the train. (d) For the given information find the distance to the train in meters.
An enormous thunderstorm covers Dallas-Ft. Worth. Your best friend Clark is a storm chaser and heads to the center of the storm to take some readings while you stay dry at home. While Clark is at the center of the storm, he sees and hears lightning strike a tree that is 184 m from where he is standing. You are 144 km from the tree. How long does it take for the sound to reach Clark? Assume the speed of sound is 343 m/s.________________ sHow long does it take for the light to reach you?_____________ s
An osprey (a type of hawk) has a distinct call: a whistle at 2100 Hz. An osprey calls while diving at you — you’ve gotten too close to her nest and she wants to drive you away! The frequency you perceive is 2400 Hz. How fast is the osprey approaching? (The speed of sound in air varies with temperature, but in this problem you can take it to be 343 m/s, the speed at 20◦C.)
A person holds a rifle horizontally and fires at a target. The bullet leaves the muzzle of the rifle with a velocity of 460m/s. Two seconds later the person hears the bullet strike the target. If the speed of sound in air is 340 m/s, calculate the distance travelled from the bullet to the target.
There was an accident, and NASA engineers are trying to sort out where two of their Mars Rovers, Tango and Foxtrot, have landed. The engineers know that landing site A is much hotter than landing site B. Unfortunately, the only working sensors on Tango and Foxtrot measure the speed of sound. If Tango measures the speed of sound at its landing site as 240 m/s, while Foxtrot measures speed of sound as 258 m/s at its landing site, where has each rover landed?
There was an accident and NASA engineers are trying to sort out where two of their Mars Rovers (named 'Tango' and 'Foxtrot') have landed. The engineers know that landing site A is much hotter than landing site B. Unfortunately, the only working sensors on Tango and Foxtrot measure the speed of sound. If Tango measures the speed of sound at its landing site as 240 m/s, while Foxtrot measures speed of sound as 258 m/s at its landing site, where has each rover landed? Tango landed at site A while Foxtrot landed at site B. Tango landed at site B while Foxtrot landed at site A. Both Tango and Foxtrot landed at site A. O Both Tango and Foxtrot landed at site B.
sound waves in air ( v = 343 m/s ) has a frequency of 320 Hz. In ocean water, its wavelength is 4.875 m. What is the speed of sound in seawater? 343 m/s 1005 m/s 1300 m/s 1440 m/s 1560 m/s
You place your ear onto a steel railroad track and hear the sound of a distant train through the rails Δt = 3.5 seconds before you do through the air. The speed of sound in steel is vs = 6100 m/s, and and the air temperature is 48° C. Find the distance, D, to the train in meters.
You are watching an old, rickety bridge being detonated, making way for a newer, safer, design. You see the bridge detonate first and you hear the sound of the explosion four seconds later. How far away from the bridge were you standing? Assume the speed of sound is 345 m/s and constant (that is, vf = vi).
A bat uses echolocation to detect prey as small as about 1 wavelength of the sound of a bat call. Assume a bat produces a sound with a frequency of 60.9 kHz, and the speed of sound in air is 339 m/s. What is the length in mm of the smallest prey the bat can detect?