6. A world-class sprinter is travelling with speed 10.0 [m/s] at the end of a 100. meter race. Suppose he slows down at the rate of 1.50 [m/s2]. (a) How many seconds does it take for him to come to a stop? (b) How far does he travel from the time he starts to slow down until he comes to a complete stop? (c) Sketch graphs of position vs time, velocity vs time, and acceleration vs time for the sprinter described above.

7. Two bicyclists, originally separated by a distance of 20.0 [km], are each traveling at a uniform speed of 20.0 [km/hour] toward each other down a long straight east-west aligned road. As the bikes travel, a bumble bee flying at a uniform speed of 40.0 [km/hour] travels from the front wheel of one bike to the other, instantaneously reversing its course each time it encounters one of the bicycle wheels. Alas, eventually the two bicycles collide, crushing the poor, exhausted bumble bee between their front tires. What total distance does the unfortunate bee travel before his untimely demise?

8. Because of their huge masses, freight trains accelerate very slowly. (a) What is the speed of a freight train after accelerating for 8.00 [minutes] from rest at the rate of 0.0500 [m/s2]? (b) If the train decelerates at the rate of 0.500 [m/s2], how long will it take to come to a stop from this speed? (c) How far does the train travel in the 8.00 [minutes] it is accelerating up to speed? (d) How far does it travel from the time it begins to decelerate from this speed until it comes to a stop? (e) Sketch position vs time, velocity vs time, and acceleration vs time graphs for the freight train's motion as described above.