Question

Two rockets approach each other. Each is traveling at$0.75c$in the earth’s reference frame. What is the speed, as a fraction of $c$, of one rocket relative to the other?

Short answer

The speed is $0.96c$, as a fraction of $c$of one rocket relative to the other

Step-by-step solution

Given Information 

We need to find the speed, as a fraction of$c$, of one rocket relative to the other.

Simplify

Relative velocity for the two bodies approaching each other with a speed close to $C$will be given as

localid="1649754438870" $v_r=\frac{u+v}{1+{\displaystyle \frac{uv}{c^2}}}=\frac{0.75c+0.75c}{1+{\displaystyle \frac{0.75c\times 0.75c}{c^2}}}=0.96c$