
In this final question, I'm going to quiz you about our approximate motion model

for this robot, which I restate.

I'd like you to apply this exact motion model over here even though you might be suspicious

of its accuracy.

Suppose a time, t = 0, coordinates are 0, 0, and 0 for all 3 variables.

Delta t = 4. I'll admit the units over here.

v = 10 and omega = pi/8, which is 22.5 degrees in degrees.

Assuming you run one these simulations exactly every 4 time steps,

I would like to know what the mobile state is after 4 of those updates,

or put differently, total time of 16.

So please tell me, what x will be, y, and theta.