Answer:
V = 31200000 m/s = 31200km/s
Step-by-step explanation:
when star recedes away from earth its wavelength will appear to increae
![(\Delta \lambda)/(\lambda_o) =(v)/(c)](https://img.qammunity.org/2020/formulas/geography/college/bl7mp65xwy6f1fhv6aj2g4e2m3uysintgl.png)
where c is speed of light
is change in wavelength
is wavelength of star = 625 nm
therefore we have
solving for v
![v = (\Delta \lambda)/(c){\lamda_0}](https://img.qammunity.org/2020/formulas/geography/college/tv1ea0suqopenxereyzx0m9acenpjj8xsn.png)
![v = ((690-625)* 10^(-9)* 3* 10^8)/(625* 10^(-9))](https://img.qammunity.org/2020/formulas/geography/college/ohtc261qmse9jhy6vt6ilv2j7hco3pkucc.png)
V = 31200000 m/s = 31200km/s