A base on Planet X fires a missile toward an oncoming space fighter. The missile

Question

A base on Planet X fires a missile toward an oncoming space fighter. The missile's speed according to the base is 0.78c . The space fighter measures the missile's speed as 0.98c. How fast is the space fighter traveling relative to Planet X? Please explain in detail....
A base on Planet X fires a missile toward an oncoming space fighter. The missile's speed according to the base is 0.78c . The space fighter measures the missile's speed as 0.98c. How fast is the space fighter traveling relative to Planet X? Please explain in detail....
A base on Planet X fires a missile toward an oncoming space fighter. The missile's speed according to the base is 0.78c . The space fighter measures the missile's speed as 0.98c. How fast is the space fighter traveling relative to Planet X? Please explain in detail....

Explanation / Answer

here these are relativistic speeds soo as fighter is moving towars planet and measures the speed of missile as w=0.98 c and speed of missile from base is u= 0.78

hence for relativistic speed

v=(w-u)/(1-wu/(c^2))

v=(0.2)/(1-0.7644/1)

v=(0.2)/0.2356

v=0.8488c

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