An elementary particle called a pi meson (or pion for short) has an average life

Question

An elementary particle called a pi meson (or pion for short) has an average lifetime of 2.6 *10^-8 s when at rest. I need help with Part C.

Part A

If a pion moves with a speed of 0.96 relative to Earth, find the average lifetime of the pion as measured by an observer on Earth. Express your answer using two significant figures.
=9.3×10-8 (Correct)


Part B

Find the average distance traveled by the pion as measured by the same observer.
Express your answer using two significant figures.
=27 (Correct)


Part C??

Find how far would the pion have traveled relative to Earth if relativistic time dilation did not occur.
Express your answer using two significant figures.

Explanation / Answer

Part C : the speed of the pion V = 0.96c the average lifetime, t= 2.6 *10^-8 s    the distance d = speed*time                            = 0.96*3*10^8*2.6*10^-8                             = 7.488 m the distance traveled relative to Earth if relativistic time dilation did not occur is 7.488m.

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