In this example we will see that time dilation is a rather small effect for reference frames in which u≪c. An airplane flies from San Francisco to New York (about 4800 km, or 4.80×106m) at a steady speed of 300 m/s(about 670 mi/h) (Figure 1). How much time does the trip take, as measured (a) by observers on the ground and (b)by an observer inside the plane?The π+ meson (or positive pion) is an unstable particle that has a lifetime (measured in its rest frame) of about 2.60×10−8s. If the particle is moving with a speed of 0.984 c with respect to your laboratory, what is its lifetime as measured in the laboratory?Express your answer in seconds to three significant figures.What distance does it travel in the laboratory during this time?Express your answer in meters to three significant figures.



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