At what speed, in m/s,  would a moving clock lose 1.1 ns in 1.0 day according to experimenters on the ground?

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
Chapter9: Relativity
Section: Chapter Questions
Problem 2CQ: Explain why, when defining the length of a rod, it is necessary to specify that the positions of the...
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At what speed, in m/s,  would a moving clock lose 1.1 ns in 1.0 day according to experimenters on the ground?
 
Hint: Use the binomial approximation.
Express your answer in meters per second using two significant figures.
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