Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical construction of the projectile motion trajectory in midair   A classic problem of the motion of a projectile thrown at an angle to the
horizon is studied. Air resistance force is taken into account. The quadratic
law for the resistance force is used. An analytic approach applies for the
investigation. Equations of the projectile motion are solved analytically for
an arbitrarily large period of time. The constructed analytical solutions are
universal. As a limit case of motion, the vertical asymptote formula is
obtained. The value of the vertical asymptote is calculated directly from the
initial conditions of motion. There is no need to study the problem
numerically. The found analytical solutions are highly accurate over a wide
range of parameters. The motion of a baseball, a tennis ball and shuttlecock of
badminton are presented as examples.

29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat