Respuesta :
Answer:
The velocity of rocket relative to ship is [tex]2.97\times10^{8}\ m/s[/tex]
Explanation:
Given that,
Velocity of spaceship relative to earth [tex]v_{se}=0.776c[/tex]
Velocity of rocket relative to earth [tex]v_{re}=0.776c[/tex]
We need to calculate the velocity of rocket relative to ship
Using formula of relativistic velocity
[tex]v_{rs}=\dfrac{v_{re}+v_{es}}{1+\dfrac{v_{re}v_{es}}{c^2}}[/tex]
Put the value into the formula
[tex]v_{rs}=\dfrac{0.776c+0.926c}{1+\dfrac{0.776c\times0.926c}{c^2}}[/tex]
[tex]v_{rs}=c\times(\dfrac{0.776+0.926}{1+0.719})[/tex]
[tex]v_{rs}=0.990c[/tex]
[tex]v=2.97\times10^{8}\ m/s[/tex]
Hence, The velocity of rocket relative to ship is [tex]2.97\times10^{8}\ m/s[/tex]
