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#it's like uh... the bullshit izanami explanation for the sharingan???
vermillioncrown · 2 years
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I always felt a little bad for Midorima having relatively normal powers instead of invisibility or stealing abilities or whatever Akashi had going on
hol up you sleepin on my boi midorima???
let's talk some conceptual physics. No math, just visuals.
First, let's consider the side-view of wherever the fuck a player is on the court, and flatten it. the ball travels a two-dimensional trajectory towards the hoop: the forward direction, and upward direction.
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fig. 1, nominal three-pointer trajectory, non-dimensionalized.
Not quite to scale. but you get the point. maybe this is a mansplanation of high school physics (but i've seen passing physics grades before and they're bleak as fuck).
When you solve projectile motion, you decompose it into the up/down equations, and the horizontal equations. why? because how far you travel depends on how long you travel, and the constraint of time is dependent on gravity.
projectile motion is a parabolic shape AKA its vertical distance is at a dependency t^2 due to gravitational acceleration. let's pretend air resistance isn't a thing (makes shit complicated) you start with both horizontal speed + vertical speed. you need to adjust your throw such that the time it takes to change your vertical speed from going up to going down, and hitting the hoop height, is exactly the same for the speed at which the ball horizontally hits the hoop.
the farthest distance covered by projectile motion is angling at 45*. that's basically same speed horizontally and vertically. NOTE THE SIZES OF THE GREEN ARROW in fig. 1
the typical three-pointer shot, so says google, by the nba is around 15 mph. i don't do freedom units for physics, so that's 6.7 meters per second.
now let's look at midorima.
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fig. 2, midorima's nonsense. notional trajectory, non-dimensionalized.
It's still projectile motion based on the curve shape (and because my boi abides by physics, to his own detriment). however, the shape is narrower. he shoots at a crazy high angle to get that clean angle into the net. but there's that hangtime. quadratic equation, right?
you know how far a thing can fall in 3 seconds due to gravity? 14.7 meters, from a standstill. it's not exactly the same for midorima, who's imparting an initial upwards speed, but he's fighting gravity. he has a greater than 45* angle shot, which makes it as horizontally efficient as an equivalent sub-45* shot
i'm not gonna bore you with the haunted scribbles on the back of a coffee shop napkin. based on initial estimates, midorima needs to launch his shit at 15 m/s <;- if we neglect air resistance, which also is more punishing for his long-shot trajectory than a typical three-pointer
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fig. 3, midorima's nonsense, pt 2. half-court shot, non-dimensionalized.
and then the motherfucker can do it from half-court. he can do it from anywhere within half-court. think about the variance in launch speeds. he keeps the same angle. now he has to impart way more horizontal speed at the beginning to keep the same high arch. i don't want to dignify that with a calculation. just know he's probably throwing a basketball at about 40 mph.
i think aomine & murasakibara are the most normal of the bunch
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