What speed dilates 1.000 second into 70.71 seconds?
A) 0.9999c
B) 0.8777c
C) 0.9777c
D) 0.9888c
E) 0.9666c

Question

Quizplus · Accepted Answer

The correct answer is derived from the time dilation formula in special relativity, $ t' = \frac{t}{\sqrt{1 - \frac{v^2}{c^2}}} $, where $ t' $ is the dilated time, $ t $ is the proper time, $ v $ is the velocity of the moving object, and $ c $ is the speed of light. Given $ t' = 70.71 $ seconds and $ t = 1 $ second, solving for $ v $ gives a speed very close to the speed of light, $ v \approx 0.9999c $.

What Speed Dilates 1.000 Second into 70.71 Seconds