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Green Blaze powers addendum: The high jump

February 5, 2014 5 comments

I’ve added a new paragraph to my earlier post “ONLY SUPERHUMAN reader question: Measuring the Green Blaze’s powers,” since I realized there was one aspect of Emerald Blair’s superstrength that I forgot to address, one that occurred to me as a result of watching The Six Million Dollar Man on DVD. Here’s what I added:

It’s occurred to me to wonder: How high could Emry jump? Of course, that depends on the gravity, so let’s assume a 1g baseline. According to my physics textbook, the maximum height of a projectile is proportional to the square of its initial velocity (specifically, the velocity squared times the square of the sine of the launch angle, divided by twice the gravity). So if we use my earlier, very rough assumption that Emry’s speed relative to an unenhanced athlete goes as the square root of her relative strength, that would cancel out the square, and thus jumping height (for the same gravity and angle) would increase linearly with strength. If she’s four times stronger than the strongest human athlete today, then, it follows she could jump roughly four times the world record for the high jump. Except it’s more complicated than that, since we’re dealing with the trajectory of her center of mass. The current world record is 2.45 meters by Javier Sotomayor. But that’s the height of the bar he cleared, not the height of his center of mass. He used a technique called the Fosbury flop, in which the body arcs over the bar in a way that keeps the center of mass below it. So his CoM was probably no more than about 2.15 meters off the ground, give or take. And he was pretty much fully upright when he made the jump. since he’s 1.95 meters tall to start with, and the average man’s CoM height is 0.56 of his total height (or about 1.09 m in this case), that would mean the world-record high jump entailed an increase in center-of-mass altitude of slightly over one meter. So if we assume that Emry is doing more of a “bionic”-style jump, keeping her body vertical and landing on her feet on whatever she’s jumping up to, then she might possibly be able to raise her center of mass up to four meters in Earthlike gravity. Which means she could jump to the roof of a one-story building or clear a typical security fence — comparable to the jumping ability of Steve Austin or Jaime Sommers.

And just a reminder: I’m open to more reader questions about Only Superhuman or my other writing.

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