I'm completely new to water rockets so have no idea about much at all

Any help you could give me with my current project would be nice. Don't ask how it got started, but a friend and I have made a maths project in which we want to build some sort of device to transport a mouse from one side of the river Thames to the other, which we figured out was about 60-70m. I thought a water rocket would be good because its cheap and they seem powerful. So, is it possible to
a. Fire a water rocket that far
b. Have the mouse still alive when it gets there (probably won't use a real mouse, but we'll find a humane substitue
c. Fire it straight enough to not land in the water
d. Do it cheap! (we're students so don't have that much money :P )
So, any help would be greatly appreciated!