At standard Temperature and pressure sound travels at speed u=330m/s relative to the air through which it propagates.
Four students A,B,C and D position themselves as shown if figure 1.20 (see attachment), with A,B,C in a straight line and D vertically above B.
A steady wind is blowing with speed 30m/s along the line ABC.
If B fires a revolver what are the speed with which the sound will travel to A,C, and D. discuss whether the differences in your answers could be detected.

What must be one's speed relative to frame S in order that one's clock will lose 1 second per day as observed from S? What if teh are to lose one minute per day.

A group of Pi-mesons (pions) is observed traveling at speed 0.8c in the laboratory. What is the gamma factor for the pions? If the pions half life is 1.8E-8s what is their half life as observed in the lab frame?
If there are initially 32000 Pions, how many will be left after they have traveled 36m? What would be the answer to the previous question if you ignore time dilation?

Muons have proper half life of 1.5 microsecond. In a certain experiment a muon detector is placed in altitude of 2000m and registers within one hour 650 muons traveling at 0.99c towards earth.
If the detector is placed at sea level how many muons do you expect to register in one hour?

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... and no length contraction (which depend on the difference between measurements of times of events in ... Thus proper time is measured at any reference frame. ...

... dilation 1/sqrt( 1 - (v/c)^2), the clock B will measure more time than clock A, ie A is slower than B. So the correct answer is (1). The relativity theory for ...

... events are said to be simultaneous if they occur at same time. ... that the mass of a body is a measure of its ... means that Energy is equal to Mass times the square ...

Special Relativity: Speed. ... If the measurement of the two coordinates were taken simultaneously in the non ... The proper length of one spaceship is 5 times that of ...

... Since the time measurement in the moving frame were done at the same coordinate in ... The major postulate in the theory of special relativity is that the speed of ...

... 4. What value would you measure for the speed of the light (in miles/second) coming ... We must travel at sqrt(3) /2 times the speed of light ... (3) Apparent time T = t ...

... When we "project" time and space upon them, we get ... It depends on what the mind determines to measure. ... world is reconciled with Einstein's Relativity theory of ...

... is Einstein's expansion of special relativity in that general relativity is a geometric measure of gravity that describes the curvature of space time and the ...