Chapter 20
Several data points flashed through Ji Zhixing's mind in an instant.
According to the sports magazine, the standard men's basketball ball has a diameter of 24.6cm and a weight of 620g; the basketball hoop is 3.05m high, has a circumference of 75cm, and a diameter of 45cm; and the standard basketball court is 28×15m.
There is no wind indoors, the wind resistance coefficient is negligible, the air resistance coefficient is 0.53 N (m/s), and the air density is 1.293 kg/m^3.
He is 180cm tall.
Find the shooting speed and angle that will allow the basketball to hit the target, i.e., [v, angle].
Assume the relative coordinates of the basketball hoop and the basketball are [x, y].
First, we perform a force analysis, from which we can obtain the differential equation:
m×dx^2/d^2t=-k×dx/dt;
dx/dt(t=0)=Vcos(θ)qw;
The solution is obtained by the method for solving linear homogeneous differential equations;
x(t)=m/k×Vcos(θ)(1-e(-k/m×t))
F_buoyancy = 3/4π^3 × ρ ≈ 0.0756 N;
Substituting the points through which the curve always passes into the locus equation yields the following:
S = νcosθt;
H = νsinθt - 1/2gt^2;
We can obtain functions of v and t with respect to θ;
v^2=gl^2/2cos^2θ(ιtanθ-h);
t^2 = 2(ιtanθ - h)/g;
At that point, the angle at which the ball enters the basket;
Tan(φ)=v(y)/v(x)=tanθ-h/ι;
If we replace the angle of incidence when the ball passes the center of the basket with the angle of incidence, then the minimum angle at which the ball enters the basket without hitting the basket is:
Φ=arc tan（24.6/2）/（45/2）=28.9°
...
All the data ran through Ji Zhixing's mind in a second. He had never felt his brain so smooth before!
Then, he moved.
He turned sideways, passed the ball to his right hand, and then extended his arm, raising his left hand high to maintain balance, his body hunched over like a drawn bowstring.
The timer displayed a bright red and glaring "00:00:01".
Ji Zhixing raised his right hand and threw it with all his might!
The dark orange basketball soared high through the air, tracing a smooth parabola.
Time seemed to slow down as everyone stared at the ball's trajectory, watching it slam into the backboard, bounce off the rim with a "thud," and spin once... twice...
It's in!
In an instant, everyone jumped up and shouted wildly, and the entire stadium trembled!
The sound boomed out of the stadium, and people outside stopped in their tracks, looking in that direction with surprise and doubt. What... happened?
Today is the last day of the sports meet, and many people have nothing to do, so some simply went inside to see what was going on. As soon as I entered the stadium, I saw that almost everyone on the field was in a state of barely suppressed excitement. Some were covering their mouths with wide eyes, some were roaring with their mouths agape, some were jumping around non-stop, and some were holding their heads in disbelief…
There was also a guy wearing a number 1 jersey who was hugging a handsome guy on the sidelines wearing a number 66 jersey, shaking him so hard he looked like he'd been electrocuted...
After finishing his logistical work for Ji Zhixing, Zhang Biao had nothing to do and wandered around aimlessly. Attracted by the commotion at the stadium, he went in to watch the excitement.
He glanced at the field and saw that the Physics Department had won, which was great, but was it really necessary to get so excited? It was as if the Chinese national football team had won the World Cup.
He nudged the boy in front of him who was howling like a wolf: "Hey bro, what happened?"
"Just now, number 66 made the last shot from inside the three lines!" he said, slamming his hand on the railing excitedly.
"And then tie the score?"
"Yes! That's amazing!"
"There's no need to get so excited. I almost thought the stadium was going to collapse."
"It's inside their third line! The ball flew all over the court, and it went in!!"
Those who entered the stadium later, like Zhang Biao, were stunned, and for a moment, shouts of "Wow!" filled the air.
Zhang Biao was even more vocal than the others because he had thought of something—Ji Zhixing had just finished leading the 3,000-meter race!
His legs were as weak as noodles after running 800 meters. Ji Zhixing had just won the 3,000-meter championship a few minutes ago, and now he can still play ball! And he even scored such an amazing goal!
Lin Lang's excitement lasted for a full two minutes. Ji Zhixing was being held and shaken excitedly by him, feeling as if his brain had been shaken into a paste.
"Stop—quickly—" His voice involuntarily swayed with wavy lines.
Lin Lang finally let go of Ji Zhixing, clenched his fists, and jumped up and down wildly several times.
"We won! Hahaha!"
The other members of the Physics team also excitedly gathered around to celebrate.
They've had their share of wins and losses in games against other colleges, and usually a friendly match wouldn't affect their emotions this intensely, but that last shot was absolutely incredible! Even in the NBA, that shot would definitely be in the highlight reel of the year.
The vice-captain, suppressing his excitement, lightly punched Ji Zhixing in the chest: "The chosen one!"
He had just heard Ji Zhixing say that he had never played basketball before, and the way he stood blankly on the sidelines at the beginning certainly didn't seem like someone with basketball experience. The fact that he could still make a shot like that made him think that Ji Zhixing was either incredibly lucky or exceptionally talented.
It is said that in the following years of sports meets, the sports committee members of each college used Ji Zhixing as a selling point when recruiting men, just like selling insurance.
"No high jump experience? That's right, you have no idea how talented you are in this area! Back then, that top student from the Physics Department, Ji Zhixing... blah blah..."
Ji Zhixing didn't offer much explanation for his amazing gamble; that would be too pretentious.
In fact, he wasn't 100% certain when he took action. It was only after the unexpected surprise of this risky attempt that he truly realized the importance of "integration power".
Compared to the other three or four tasks, Ji Zhixing has not paid much attention to the "integration power" task. In the second stage, the system subdivides the "integration power" task into several aspects such as upper limb strength, lower limb strength, and core training, but does not specify the specific training methods.
Ji Zhixing consistently used the same three exercises: running, lifting dumbbells, and planking. Although the exercise method was simple, it effectively trained his upper body strength, lower body strength, and core strength, and he successfully earned points.
Only now does Ji Zhixing fully understand what "integrative power" means, what "interaction and coordination between the brain and body" means, and what "the outward expression of all integrated abilities" means!
Instantaneous calculations are not difficult for him now; what is remarkable is that his body can precisely coordinate with the calculated angles and speeds!
You never know how amazing you are until you push yourself! Ji Zhixing thought this for the second time and decided to put more effort into the "Integration Force" mission in the future.
Many of the students watching at the time were filming with their phones, and naturally some of them happened to capture the last 30 seconds.
The video was uploaded to WeChat Moments and quickly spread...
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