A spherical soap bubble has radius r (in centimeters) t seconds after formation given by
r(t)=0.04t.
The bubble grows while the surrounding air remains at standard atmospheric pressure.
(a) Calculate dtdr as an explicit function of t.
(b) Evaluate dtdr at t=25 and state the correct units.
(c) Interpret the numerical result from part (b) in the physical context of the bubble’s growth.