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.

Q: What is the displacement Δx of the particle?

A: Approach to solving the question: Detailed explanation:Examples: Key references:

Q: bat flying at 4.65 m/s is chasing an insect flying in the same direction. The bat emits a 39.8-kHz…

A: Given data: Speed of bat vs=4.65 m/s. Received frequency f∘=40.3 kHz. Transmitted frequency f=39.8…

Q: A bat flying at 4.55 m/s is chasing an insect flying in the same direction. The bat emits a 39.9-kHz…

A: Here first we will calculate the frequency the insect hear and then the frequency of reflected the…

Q: On an alien world sound travels very slow due to a thin atmosphere, with vsound = 95.5 m/s. An…

A: Answer:   The calculation of the fire cracker’s fuse burn is given as below:

Q: A speedboat, starting from rest, moves along a straight line away from a dock. The boat has a…

A:

Q: a) What is the height h from which the stone released? The speed of sound in air (at the ambient…

A: Given data: The initial speed of stone is: u =0 The height from which the stone is dropped is: h The…

Q: A 25.0 g string has a length of 200 cm. What is the mass per unit length of the string? 12

A:

Q: An earthquake generates two types of seismic waves, P-waves and S-waves. Their speeds are 8000 m/s…

A:

Q: The atmosphere of Mars is much less dense than the atmosphere of the Earth so the speed of sound on…

A:

Q: Standing at the base of one of the cliffs of Mt. Arapiles in Victoria, Australia, a hiker hears a…

A:

Q: A spaceship is approaching a space station at a speed of 3.40 x 105 m/s. The space station has a…

A:

Q: You place your ear onto a steel railroad track and hear the sound of a distant train through the…

A: Let ta be the time taken to reach the sound through air and ts be the time taken to reach the sound…

Q: You are standing still at a railroad crossing when the driver of the train sounds its whistle. You…

A: Given: A train whistles

Q: All AM radio stations are assigned frequencies in the range between 550 and 1600 KHz. The speed of…

A: The first given frequency, The second given frequency, The speed of radio waves,

Q: During a thunderstorm, 3.2 s elapses between observing a lightning flash and hearing the resulting…

A:

Q: During a thunderstorm, 5.0 s elapses between observing a lightning flash and hearing the resulting…

A: The speed of light (u) = 3 ×108 msThe speed of sound in air (v) = 344 msLet the distance of the…

Q: An aircraft flies directly overhead at an altitude of 5 km. If the sound of the aircraft is heard 6…

A: The sound took 6s to cover a distance of 5km. Use the time-distance formula to calculate the speed…

Q: A supersonic aircraft is flying at an altitude of 3,000 meters with a constant velocity of 2,000…

A: To calculate the time it takes for the sound of the supersonic aircraft to reach the observer, we…

Q: After Dragonfly lands and is unfolded from its carrier, it flies away at 3.368 m/s. We know that the…

A: Whenever there is a relative motion between an observer and a distant sounding source, the frequency…

Q: An enormous thunderstorm covers Dallas-Ft. Worth. Your best friend Clark is a storm chaser and heads…

A: Given-Here, d is the distance of Clark, s is the distance of the person from the tree, and v is the…

Q: The Cubs are putting on a fireworks show at Wrigley Field after the game on a brisk autumn evening…

A: Given:   evening temperature  = 12 0C(54 0F) Time taken by spectator to hear = 0.600 s speed of…

Q: A diver below the surface of a lake hears the sound of the siren of a boat on the surface just above…

A:

Q: Q) The Doppler scale uses ultrasound to measure the rate at which blood is spent. Suppose that the…

A:

Q: person stands at a point 300.001 m in front of the face of a sheer cliff. If the person shouts, how…

A:

Q: An enormous thunderstorm covers Dallas-Ft. Worth. Your best friend Clark is a storm chaser and heads…

A: Write the given values with the suitable variables. d=184 ms=144 km=144×103 mv=343 m/s Here, d is…

Q: You are standing on a train station platform as a train goes by close to you. As the train…

A:

Q: A stopwatch is launchedat an angle of ?=39.00°above the horizontal with an initialspeed of 52.0m/s.…

A: The vertical displacement of the watch when the alarm rings can be computed as;…

Q: A bat flying in a cave emits a sound and receives its echo 0.06 s later. Find the distance to the…

A: Given that,speed of sound, v=343 m/secbat flying in a cave emits a sound and receives its echo 0.06…

Q: There was an accident and NASA engineers are trying to sort out where two of their Mars Rovers,…

A: Recall VαTSpeed of sound is proportional to square root of temperature.

Q: Sound Caused by an explosion on the ocean's surface travels vertically downward to an underwater…

A: Given data: Total time taken (t) = 11.6 Speed (v) = 1450 m/s Required: The depth of the mountain

Q: A LaGuardia Physics Professor drops a stone into a well. How deep is the well if the Professor hears…

A:

Q: An explosion occurs at the end of a pier. The sound reaches the other end of the pier by traveling…

A: Given, Distance traveled by sound in each medium = 136 m  Speed of sound in air = 347 m/s  Speed of…

Q: This is possibly a different atmosphere from ours.  In any case, the speed of sound is…

A: When lightning flashes, we see its light first while its sound is heard after some time. This…

Q: An explosion occurs at the end of a pier. The sound reaches the other end of the pier by traveling…

A: speed of sound in air = 346 msspeed of sound in water = 1400 msspeed of sound in handrail = 5480…

Q: As you zip through space in your PPS (personal propulsion suit), your pulse rate as you count it is…

A: Given data :  t'/t = 0.525  c = 3 × 108 m/s  By using time dilation formula we can calculate answer…

Q: I ran track in high school.  Sometimes spectators would time the races from the stands.  Let's say…

A: Time taken by light and sound to reach the spectator tl=dcts=dvs

Q: An enormous thunderstorm covers Dallas-Ft. Worth. Your best friend Clark is a storm chaser and heads…

A: Given,where, d = distance of Clark.s = distance of the person from the tree.v = speed of sound.We…

Q: During a thunderstorm, 3.0 s elapses between observing a lightning flash and hearing the resulting…

A: Given, During a thunderstorm, 3.0 s elapses between observing a lightning flash and hearing the…

Q: 30 m from an ultrasonic sensor. The total travel time of the ultrasonic wave is 33 ms…

A:

Shock Waves

Shock waves are common in continuum mechanics, and their dominance is attributable to the fact that they are stronger (or even less) compressible. Substantial perturbations propagated as sudden dynamic changes of a compressible medium supersonically. Shock waves are all around us in our daily lives. Lightning, earthquakes, volcanic eruptions, and meteorite impact all produce them in nature. Even the earth, which is protected by its magnetic field, generates a shock wave as in solar wind that travels around 20 Earth radiuses. These shock waves might be either constant, linked to the body, or unsteady, i.e., moving around with time. All of the shocks mentioned above can be damaging, so precautions must be taken to reduce their impact.