What trajectory is the body thrown at an angle to the horizon.

The x-axis is directed horizontally, the y-coordinate – vertically upward. The origin is at the point of throw.

Let the angle to the horizon be a and the initial velocity v.

The vertical and horizontal components of the velocity (initial) are equal:

vв0 = v * sin a,

vg0 = v * cos a.

horizontal speed vg = vg0 – constant, vertical speed changes at present:

vw = v sin a – gt, where g is the acceleration of gravity.

The x coordinate is linearly dependent on time:

x = vt cos a (1).

Answer: the trajectory is a parabola, the branches of which are directed downward.