rudransh verma said:Don’t you think in a single jump when the person is going up he is moving faster than on Earth because there is no drag and less gravity but when coming down he slows down because of low gravity. So net result is that the person is not actually gaining any speed over on earth.
You need to disconnect the horizontal movement from the vertical movement. As I said your takeoff velocity vertically can be faster*), but that doesn't say anything about how fast you go horizontally.
This is what I meant when mentioning the car going from 0 to 60 in 4 secs (in vacuum, to not be concerned with drag). That is horizontal movement, and thus, as @sysprog also pointed out, only susceptible to inertia. The car will always go 0 to 60 in 4 secs on any planet(oid), earth, the moon, mars, jupiter, anywhere (given enough drag, equal engine performance etc).
*) Also your hang-time is higher, so the time between jumps is longer and you get to a higher point above the ground.