trick

This is first of eight Trick-based simulations that one builds in the Trick Tutorial (Section 3). It's purpose is to introduce the fundamentals of building a Trick simulation.

Here we simulate the flight of a cannon ball, given an initial position, and velocity subject to the following assumptions and limitations:

The only force acting on the cannon ball is gravity.
The acceleration of gravity (g) is constant and equal to -9.81 meters per second squared.
The ground is flat, and here, defined as where y=0.

Approach

Since this problem has a closed-form solution, that's what we use :

The time when the cannon ball impacts the ground is:

Inputs

Variable	Type	Units
dyn.cannon.pos0	double[2]	m
dyn.cannon.init_angle	double	r
dyn.cannon.init_speed	double	m/s

The initial velocity is :

Outputs

Variable	Type	Units
dyn.cannon.pos	double[2]	m
dyn.cannon.vel	double[2]	m/s