Chapter 1.5, Problem 1dT

Spaceship C moves so as to remain a fixed distance behind spaceship at all times.

The diagram at right shows the positions time of the three spaceships and the shuttle at time $t_i$ , in the reference frame of spaceship C.

Diagram for reference frame of spaceship C

On the diagram show the positions of the spaceships and the shuttle at time $t_f$ as measured in the reference frame of spaceship C.

In the box at right, draw and label vectors for ${\stackrel{\to }{x}}_{\text{S,C}}^{\text{(i)}},{\stackrel{\to }{x}}_{\text{,S,C}}^{\text{(f)}},\text{and}\Delta {\stackrel{\to }{x}}_{\text{S,C}}$ .

${\stackrel{\to }{x}}_{\text{S}}^{\text{(i)}},{\stackrel{\to }{x}}_{\text{S}}^{\text{(f)}},\text{and}\Delta {\stackrel{\to }{x}}_{\text{S}}$ in frame of spaceship C

Is the magnitude of the displacement of the shuttle in the frame of spaceship C greater than, less than, or equal to themagnitude of the displacement of the shuttle in the frame of spaceship B? Explain.