In this mathcast, we are looking to find the math behind

a ship sailing from port A up to port B.
So let us stop the animation for a moment and
move to t back to 0 and we can see that the bottom left-

hand corner of the ship image is now at point A.
If we move t up to 1, we see that the bottom left-hand

corner is now at point B.
And we saw that the ship was sailing at a constant

speed from port A to port B.
How about when t=1/2=0.5? We can see that the bottom

left-hand corner is halfway between A and B. So it is at

the midpoint.
How can make that into a math formula that will animate

our ship?