I will show you, how to draw oblique throw trajectories with LitioLAB. This is based in the general oblique throw formulas - parabolic movement.

Check the following video:

The general formulas that describe the oblique throw are as follows:

Y= Y0 + V0y*t+1/2*g*t^2

with g = -9.8 m/s^2

We can use LitioLAB’s auxiliary constants to enter the initial speed and the initial angle as follows:

C2 = angle

We can use the auxiliary formula boxes to enter the initial position, as follows:

J2 = Y0

For our first example let’s assume we have an athlete that throws a ball with an initial speed of 14 m/s at a 45° angle, and the starting height of the ball’s trajectory being 2 m. That is:

C1 = V0 = 14

C2 = alfa = 45°

J1 = X0 = 0.0 m

J2 = Y0 = 2.0 m

And the formulas for X and Y:

X = J1 + C1*cos(c2)*u

Y= J2 + C1*sin(c2)*u +0.5*(-9.8)*u^2

The next example is a ball falling from a roof with a slope of 45 degrees, from a height of 18 m. Let’s assume that at the moment it comes to the roofs edge, the ball has a speed of 12 m/s.

Last example: A plane flying at a height of 2000 m at a speed of 800 km/h (which is 222,2 m/s), releases a bomb.