I'm really new with physics. Maybe someone would be able to help me to solve the next problem: I need to calculate position of an agent on the plane(2D) in next time step where time step is large(20+ seconds) What I know about agent's motion:

• Initial Position
• Direction(normalised vector)
• Velocity(linear function from time ) - object always moves along it's direction
• Angular Velocity(linear function from time)

Optional:

• External force direction
• External force (linear function from time)

Running discreet simulation with t->0 is not an option.