# Chapter 35 - Reading Check Questions (Comprehension): 15

At half the speed of light, v/c = 1/2, measurements of time intervals differ by a factor 1.15. At $99.5\%$ of the speed of light, v/c = 0.995, measurements of time intervals differ by a factor of 10.

#### Work Step by Step

$$\gamma = \frac{1}{\sqrt{1-0.5^{2}}} = 1.15$$ $$\gamma = \frac{1}{\sqrt{1-0.995^{2}}} = 10.0$$ This is discussed on page 666.

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