An air bubble, \(0.3 \mathrm{in}\). in diameter, is released from the regulator of a scuba diver swimming \(100 \mathrm{ft}\) below the sea surface where the water temperature is \(86^{\circ} \mathrm{F}\). The air bubble expands as it rises in water. Find the time it takes for the bubble to reach the surface. Repeat for bubbles of diameter \(5 \mathrm{~mm}\) and \(15 \mathrm{~mm}\). Compute and plot the depth of the bubbles as a function of time.