K1.L1.4-01 Two bacteria are next to each other moving in the same direction. One moves with an initial velocity of 20 pum/s, accelerating at a rate of 5 um/$3. The other starts with a velocity of 60 um/s and is decelerating at a rate of 2 um/$3. 1 pm=106m. (a) Find the time and position at which the bacteria meet again for an epic battle. (b) Use the Related Quantities sense-making technique to compare the position found in part (a) for both bacteria. How do you expect these positions to compare? (c) Sketch a plot of the position as a function of time for the two bacteria. Any important feature of the motion should be scaled to the time at which it happened