The first cosmic speed refers to the launching speed that a spacecraft must have when it makes a circular motion along the earth's surface, which is also called the flying speed. According to the theory of mechanics, scientists have calculated that the speed of the first universe is 7.9 km/s, that is to say, if you want to fly out of the earth and move around the earth in a spaceship, your spaceship will start at a speed of 7.9 km/s. If there is not enough energy, you will be constrained by the gravity of the earth and finally fall to the ground, so that you can't fly out of the earth.
The second cosmic velocity, called detachment velocity, refers to the spacecraft escaping from gravity and becoming a satellite of the earth. Scientists have calculated that this speed is 1 1.2 km/s, which means that if you want to get rid of the gravity of the earth, you must reach this speed to fly to the solar system, otherwise you will become a satellite of the earth and go around the earth. Third cosmic velocity refers to the minimum launching speed required to launch a spacecraft from the earth's surface, fly out of the solar system and roam in the vast galaxy, also called escape speed. Scientists have calculated that this speed is 16.7 km/s, which means that if you want to fly away from the solar system, you have to reach this speed, otherwise you will move in the solar system under the gravity of the sun.
Through the study of these three speeds, we know that whether we can fly out of the earth or even the solar system depends on whether our spacecraft can reach these three speeds. As for calculus, it has nothing to do with it because the calculation process involves mechanical problems.