Raindrop Speed The figure shows the terminal speed, in meters per second, of a raind...

Raindrop Speed The figure shows the terminal speed, in meters per second, of a raindrop as a function of the size of the drop measured in terms of its diameter.

a. Sketch a secant line connecting the points for diameters of 1 mm and 5 mm, and estimate its slope. What information does this secant line slope give?

b. Sketch a line tangent to the curve at a diameter of 4 mm. What information does the slope of this line give?

c. Estimate the derivative of the speed for a diameter of 4 mm. Interpret the result.

d. Estimate and interpret the percentage rate of change of speed for a raindrop with diameter 2 mm.