A very small spherical particle (on the order of 5 microns in diameter) is projected into still air with an initial velocity of 0 m/sec, but its...

A very small spherical particle (on the order of 5 microns in diameter) is projected into still air with an initial velocity of ν0 m/sec, but its velocity decreases because of drag forces. Its velocity t seconds later is given by ν(t) = ν0e−at for some a > 0, and the distance s(t) the particle travels is given bys(t) = v0/a(1-e^-at)The stopping distance is the total distance traveled by the particle.(a) Find a formula that approximates the stopping distance in terms of ν0 and a.(b) Use the formula in part (a) to estimate the stopping distance if ν0 = 12 m/sec and a = 1 × 10^5.

A very small spherical particle (on the order of 5 microns in diameter) is projected into still air with aninitial velocity of ν0 m/sec, but its velocity decreases because of drag forces. Its...