A Spaceship Enters the Solar System Moving Toward the Sun $50.0$

Multiple Choice

A spaceship enters the solar system moving toward the Sun at a constant speed relative to the Sun. By its own clock, the time elapsed between the time it crosses the orbit of Jupiter and the time it crosses the orbit of Mars is $50.0$ minutes. How fast is the spaceship traveling towards the Sun? The radius of the orbit of Jupiter is $778 \times 10 ^ { 9 } \mathrm {~m}$ , and that of the orbit of Mars is $228 \times 10 ^ { 9 } \mathrm {~m}$ .

A) $0.522 c$
B) $0.982 c$
C) $0.438 c$
D) $0.319 c$
E) $0.671 c$