Projectile motion

This is a very simple simulation of an oblique shot. It shows the movement in two dimensions (x and y direction) of a body of mass m (ball)

The body is thrown from the surface of the earth with an initial velocity v0 and the direction of the initial velocity is at an angle theta. The body is acted upon only by the force of the earth's gravity G=mg

The body will move at the same time vertically upwards with a certain speed vY and horizontally with a speed vX and the current speed is calculated iteratively for every dt seconds according to the formula vy=v0y-g*t in the Y direction while in the X direction the speed is constant and equals vX. Given that the time of dt seconds is observed and that the initial velocity in the current iteration is actually the final velocity calculated for the previous iteration, the formula for the current velocity in the Y direction that is entered in the evolution tab is :vY=vY-g*dt, where g is the gravitational acceleration and is equal to 9.81 m/s^2.

The body will reach some maximum height HMax, and then it will start falling with the same acceleration g. The current speed in the Y direction is further calculated by the formula vY=vY+g*dt.

The body will have a maximum range DMax which depends on the initial speed v, as well as the direction of the vector v(angle theta).

These initial values can be changed by entering values in the corresponding fields for speed and angle theta, before starting to run the simulation.