algebra2
posted by bb on .
Suppose it takes 3 days for a space vehicle to travel from Earth to the moon. About how long would it take for the same vehicle traveling at the same speed to Jupiter? Moon  240,000 mi Jupiter  391,000,000. The space vehicle would take how many days to reach Jupiter?

Suppose it takes 3 days for a space vehicle to travel from Earth to the moon. About how long would it take for the same vehicle traveling at the same speed to Jupiter? Moon  240,000 mi Jupiter  391,000,000. The space vehicle would take how many days to reach Jupiter?
I assume you wish to assume a constant velocity over the distances.
240,000/3(24) = 3333.33 mph
391,000,000/3333.33 = 117,300 hr = 4887.5 days.
The mean distance from Earth to Jupiter is really 483,700,553 miles however, making the constant velocity trip time 145,110 hr = 6046 days.
A realistic trip to the Moon departs the Earth with a velocity of just under 25,000 mph relative to the Earth.
The real minimum energy trip time to Jupiter is ~2.73 years.