Question

An island is measured to be 12 km long on a map. How fast is someone flying past the island if they measure the island to be 10 km long?

Answer 1

The velocity from the personne flying over the island is
`1.66*10^8m/s`

Step-by-step explanation:

The island experiences a contraction of length, because the person who measures it, sees as if the island moves with a speed v. Relativistic Law, for an object with a velocity v and a length at rest Lo, and a length L at a velocity v :

`L=L_(0){\sqrt {1-v^(2)/c^(2)`

`v=c*\sqrt{1-(L/L_(0))^2}=3*10^8*√(1-(10/12)^2)=1.66*10^8m/s`