Challenge Problem (Extra Credit) Your good friend’s car (mentioned above) ignores a stop sign and enters an intersection with a speed v0 of [05] 31.4 m/s. He then continues with a constant velocity. A motorcycle traffic patrol officer is parked at the intersection. He discards his hot cocoa and doughnut and begins accelerating (at the instant the car passes him) with a constant acceleration of 3.29 m/s2.(a) How long (s) does it take the officer to catch the car?(b) How far (m) has the officer traveled when he catches up to the car?(c) How fast (m/s) is the officer going when he catches up to the car?