How high can you jump on Ceres?

If you assumed standard atmosphere, pressure and room temperature, so you don't need a space suit, how high could you jump on Ceres?

The surface gravity there is about 0.27 m/s^2.

First, let's assume that on earth, I can jump ~ 2ft, or 0.6m high.

Using equations for conservation of energy, we can determine my jumping velocity (really my landing velocity):

m*g*h = 0.5*m*v^2
or
v^2 = 2gh

Since g on earth is 9.8m/s^2, and my jump height is 0.6m

v^2 = 11.77 (m/s)^2
v = 3.43 m/s

Using the same equation in reverse to get my jump high on Ceres

11.77 = 2 * 0.27 * h
h = 21.8m

Originally posted by forkedknight
First, let's assume that on earth, I can jump ~ 2ft, or 0.6m high.

Using equations for conservation of energy, we can determine my jumping velocity (really my landing velocity):

m*g*h = 0.5*m*v^2
or
v^2 = 2gh

Since g on earth is 9.8m/s^2, and my jump height is 0.6m

v^2 = 11.77 (m/s)^2
v = 3.43 m/s

Using the same equation in reverse to get my jump high on Ceres

11.77 = 2 * 0.27 * h
h = 21.8m

Originally posted by sonhouse
What about the best humans can do? I think the present record is a bit over 8 feet! 2.44 meters! Would it be linear, since that would be 4 times higher, so Would that come out to 87.2 meters on Ceres?

If we consider that we could be assisted with our jump we can get even higher. The escape velocity on Ceres is reportedly 510 m/s. If we decide to not exceed 500 m/s to avoid an error in the escape velocity number then we get a height of:

500 / (2 * 0.27) = 926 m (rounded)

That same apparatus on earth would only get us 25.5 m [5 giraffes - see below], which is an impressive jump but gives you the idea of the escape velocity. Most people with a reasonably good arm can throw a ball this high, so we could stand on Ceres and 'throw' ball-massed satellites into orbit. That would save on gas! (https://what-if.xkcd.com/44/)

-Removed-

Originally posted by GastelEtswane
If we consider that we could be assisted with our jump we can get even higher. The escape velocity on Ceres is reportedly 510 m/s. If we decide to not exceed 500 m/s to avoid an error in the escape velocity number then we get a height of:

500 / (2 * 0.27) = 926 m (rounded)

That same apparatus on earth would only get us 25.5 m [5 giraffes - see ...[text shortened]... row' ball-massed satellites into orbit. That would save on gas! (https://what-if.xkcd.com/44/)

Originally posted by sonhouse
Job listing for the year 2145: Ceres needs people with good throwing arm to launch small payloads from surface, baseball pitchers may apply. Good working conditions, sign on bonus, one month vacation per year, very high salary...

Originally posted by GastelEtswane
Only Ceres-ious applicants should apply?