Large cockroaches can run as fast as 1.50 m/s in short bursts. suppose that you turn on the light in a cheap motel and see a cockroach scurrying away from you in a straight line at a constant 1.50 m/s as you move toward it at 0.70 m/s. if you start 0.75 m behind it, what minimum constant acceleration would you need to catch up with the cockroach when it has traveled 1.30 m, just short of safety under a counter?

Certain bacteria (such as aquaspirillum magnetotacticum) tend to swim toward the earth’s geographic north pole because they contain tiny particles, called magnetosomes, that are sensitive to a magnetic field. if a transmission line carrying 100 a is laid underwater, at what range of distances would the magnetic field from this line be great enough to interfere with the migration of these bacteria? (assume that a field less than 5% of the earth’s field would have little effect on the bacteria. take the earth’s field to be 5.0 * 10-5 t, and ignore the effects of the seawater.)