Irodov Problem 1.366

This problem can be considered as an extension of the problem 1.365(a). We have to simply replace V=v, to obtain the relationship between w' and the acceleration of the rocket w as seen from Earth. This is because at each instant, the moving reference frame K' has the velocity v same as that of the rocket as seen from Earth. Thus, we have,



















The distance traveled by the body can be obtained using (2) and the velocity of the body is obtained from (1). The fraction by which the velocity differs from light speed can be obtained by computing 1-v/c.