Approximately how thick is the film of soap in the reddish region of the third stripe indicated? Assume that the film is nearly perpendicular both to your line of sight and to the light rays from the lamp. For simplicity, assume that the region specified corresponds to the third maximum of the intensity of reflected red light with a 645 nm wavelength. The index of refraction of the soap film is 1.34 .

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".