Experiment 1: 

Observe the range of the stream vs. clock time over approximately five intervals.

Construct a trapezoidal approximation graph of range vs. clock time, including slopes.  What is the meaning of the slope of a trapezoid of this graph?

Experiment 2 

What is the initial water depth?  At what instant is the rate of change of water depth with respect to clock time equal to half the initial rate?

What is the initial rate at which water is exiting the cylinder?

The tube has diameter .3 cm.  If the outflowing water was filling another tube of the same diameter then how high would water be in the tube after the first 3 seconds?  At what average rate in cm/s would the height of water in that tube be changing?