Two bacteria are next to each other moving in the same direction. One moves with an initial velocity of 20 μm/s. accelerating at a rate of 5 μm/s2. The other starts with a velocity of 60 μmm/s and is decelerating at a rate of 2 μm/s2. 1 μm = 10-6 m.
(a) Find the time and position at which the bacteria meet again for an epic battle.
(b) 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.