A student is examining a bacterium under the microscope. The E.coli bacterial cell has a mass of = 1.60 fg (where a femtogram, fg,is 10^-15 g) and is swimming at a velocity of v= 4.00 um/s, with anuncertainty in the velocity of 3.00 % . E. coli bacterial cells arearound 1 (um 10^-6 m ) in length. The student is supposed toobserve the bacterium and make a drawing. However, the student,having just learned about the Heisenberg uncertainty principle inphysics class, complains that she cannot make the drawing. Sheclaims that the uncertainty of the bacterium's position is greaterthan the microscope's viewing field, and the bacterium is thusim possible to locate.
What is the uncertainty of the position of the bacterium?
Express your answer numerically in meters.