A bicycle racersprints at the end of a race to clinch a victory. The racer has aninitial velocity of 11.2 m/s and accelerates at the rate of 0.3m/s2 for 6.9 s.

a)The racer continuesat this velocity to the finish line. If he was 293 m from thefinish line when he started to accelerate, how much time did hesave (in s)?

b)One other racer was5 m ahead when the winner started to accelerate, but he was unableto accelerate, and traveled at 11.5 m/s until the finish line. Howfar ahead of him (in seconds) did the winner finish?

c) How far ahead ofhim (in meters) did the winner finish?

A fast elevator in askyscraper is employing the following scheme to get from thestarting level to the desired level: For the first half of the timeit accelerates at the maximum allowed acceleration of 1.0 m/s2 andfor the second half it decelerates at the maximum allowedacceleration of −1.0 m/s2. How long does it take (in seconds) to gofrom ground level to the highest level at 80 m elevation?

A track team ispracticing for a 4 × 100 m relay race. The first runner, Linda, isrunning at a constant speed of 8.6 m/s. The next runner, Jenny,will be starting from rest at the 80 m mark. She has anacceleration of 1.0 m/s2. Ideally the two runners meet at the 100 mmark to hand over the baton. At this point, Jenny is stillaccelerating.

a) How long does ittake Jenny to run from the 80-m mark to the 100-m mark?

b) At what distancebehind Jenny should Linda be when Jenny starts running? (Assume forsimplicity that there is no distance between the two runners whenthe switch happens.)

c) What’s Jenny’sspeed at the 100m mark?