Chapter 126 Artillery, 9527!



Li Qingzhao: "Impossible, absolutely impossible. What is sin? What is cos? What is gravity? They are all unknown quantities."

Zhao Huan: "Similarly, if we need to reach a height of 500 meters in the vertical direction, y should be equal to Vo multiplied by sinθ, multiplied by the time t. Because of the influence of gravity, we also subtract (1/2)gt². This g represents the acceleration due to gravity. We can calculate it according to 9.8. This is a known number, so this formula also has two unknowns."

"Two unknowns, two equations. This way, we can calculate t in the first formula, t=x/(Vo*cosθ), and then substitute it into the second formula. Furthermore, the two formulas in the Pythagorean theorem, sinθ/cosθ=tanθ and 1/cosθ²=1+tanθ², transform this into a quadratic equation involving tanθ. Ultimately, we can derive tanθ=0.172 or 6.824, which gives us the value of θ as 9.76 degrees or 81.66 degrees."

"A quadratic equation has two solutions, which is fine, right? However, the previous conditions are limited. The angle can only be adjusted between -3.5 degrees and 70 degrees, so there is only one correct answer, which is 9.76 degrees. Substituting this into the first equation, we get a time of 2.45 seconds, which is very accurate."

"How's it going? Is it interesting? If you can understand, you'll be an artilleryman from now on, nine-five-twenty-seven!"

Li Qingzhao: There’s no way I could understand it!!!

Come on, let’s do the questions together!

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