Answer:
the time length it took the apple to fall is 8 seconds
Explanation:
According to the navigator's instruments, the time it takes the apple to fall can be calculated by using the approach of the time dilation which is given by the expression:
[tex]t = \frac{t_o}{\sqrt {1-\frac{v^2}{c^2}}}[/tex]
and it is given that the speed of the space ship can be found from this relationship; [tex]\frac{1}{2}= \sqrt{1-\frac{v^2}{c^2}}[/tex] and [tex]t_0[/tex] = 4s
Then t = [tex]\frac{4}{\frac{1}{2} }[/tex]
t = [tex]4*\frac{2}{1}[/tex]
t = 8 seconds
Thus, the time length it took the apple to fall = 8 seconds
