A (very fast) tortoise and a hare agree to a 10­foot race. You are the race offi

Question

A (very fast) tortoise and a hare agree to a 10­foot race. You are the race official and

you have assistants with synchronized clocks recording the locations and times of events in

your frame, so all of the numbers below are in your frame. The hare finishes in 20 nanoseconds

(light travels at roughly 1 foot per nanosecond). The hare then stops and waits at the finish line

for the tortoise, who takes 100 nanoseconds to get there.

How much time elapses on the hare’s watch from the origin to H? from the

origin to T? From H to T?

How much time elapses on the tortoise’s watch from the origin to T? from the

origin to H? From H to T?

Explanation / Answer

hare speed=10/(20*10^(-9)=5*10^8 feet/sec=1.524*10^8 m/s

using time delay equation

for horse time=t

normal time=to=20ns

t=23.22 ns

for tortoise=100 ns

t=to/((1-v2/c2)1/2)

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