Question

The velocity of travel of raindrops falling from a cloud is observed to obey the equation: V = 10(1 - e⁻ᵗ /10) where t specifies the time after the fall begins. Set up a table of values of t and V, and plot this function as a graph against time. Determine from it when a typical raindrop reaches 90% of its “terminal velocity”. Your answer must be accurate to 2 significant figures. Then, confirm your answer analytically, i.e. by solving the problem using logs and transposition to get t as the subject of an equation and then plugging for it.

Answer 1

10 (23.026, 9) 0 10 20 30 40 50 60

a Vaindrop The terminal vclocity units. ( units argiven\. From the graph -9 Units = 90.1.aflounits t= 23 Units of +line at ugging V=9 units an4 finding OY e-t/'o=어 taking natural lng (O So We get t 23units by bsth methods