Answer
0.69 c
Work Step by Step
Let the positive direction be the direction in which the person travels. Let the Earth’s reference frame be S and the person’s reference frame be S’.
The velocity of the rocket relative to Earth is v = 0.40c. The velocity of the meteor relative to the rocket is u’=0.40c. Use the relativistic velocity addition formula, equation 26–10.
$$u=\frac{v+u’}{1+\frac{vu’}{c^2}}$$
$$u=\frac{0.40c+0.40c}{1+(0.40)(0.40)}=0.69c$$
