How high can Ludicrous Leg man jump?

Ludicrous Leg Man has never skipped a leg day, as a result of which he has infinitely strong and fast legs and all attendant secondary superpowers. Don't ask why, just roll with it.

While performing leg related actions such as running, jumping and kicking his body shrugs off all forms of damage, so he doesn't break his own bones, air resistance doesn't tear the skin from his legs, inertia doesn't push his brain into his spleen, compressive heating of air in front of him only burns off his clothes, and he can land perfectly unharmed (naturally in the typical hero pose).

While he can kick impressively fast his reaction times are still human, so when jumping he has to put all of his effort into one explosive movement (he can't cleverly run on air). He has a footprint (no pun intended) of 0.3m x 0.1m x 2legs = 0.06m², and weighs about 90kg.

Given that he still has to deal with air resistance even if it doesn't kill him, he's jumping from sea level at STP and that the ground underneath him is not infinitely strong (assume it's granite, with a compressive strength of 220 MPa), can Ludicrous Leg Man overcome Earth's gravity (ie still be moving at escape velocity after clearing the atmosphere) without just digging his unusually manicured feet into the ground? If not, just how high can he get?

posted almost 7 years ago

Joe Bloggs‭

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