问题 计算题

某公共汽车的运行非常规则,先由静止开始匀加速启动,当速度达到时再做匀速运动,进站前开始匀减速制动,在到达车站时刚好停住。公共汽车在每个车站停车时间均为。然后以同样的方式运行至下一站。已知公共汽车在加速启动和减速制动时加速度大小都为,而所有相邻车站间的行程都为,有一次当公共汽车刚刚抵达一个车站时,一辆电动车刚经过该车站一段时间,已知该电动车速度大小恒定为,而且行进路线、方向与公共汽车完全相同,不考虑其他交通状况的影响,试求:

(1)公共汽车从车站出发至到达下一站所需的时间是多少?

(2)若从下一站开始计数,公共汽车在刚到达第站时,电动车也恰好同时到达此车站,为多少?

答案

解:(1)公共汽车启动时加速所用的时间为t1,t1=V1/a

得t1=10s

启动加速时行驶的路程为S1,S1=

得S1=50m

上面所求时间和路程同时也是制动减速所用的时间和路程,所以汽车每次匀速行驶所经过的路程为S2

S2=S-2S1

得S2=500m

匀速行驶所花时间为t2,t2=S2/V1

得t2=50s

所以公共汽车在每两站之间运动所经历的时间为t=2t1+t2=70s

(2)电动车到达第n站所用的总时间为T,T=n(t+Δt)+t0

所以有V2T=nS

代入数据可求得n=12

单项选择题

After winning a big game, athletes are often asked how they feel. Usually athletes say how (1) it is to win this big game. On the contrary, the fact is that losing a big game, or in my case, all the games, can be even harder.

From the spectators’ point of view, last year’s basketball (2) for my high school team was nothing (3) of an embarrassment. And (4) 0 and 20 is certainly nothing to be proud of, that season had a bigger impact on me than any other. As a team captain, I knew it probably wouldn’t be the (5) year, but did I ever think we would lose every game Of course not. Since six of our top players had graduated, it was clear that we were a (n) (6) team who would struggle. The struggle began earlier than expected, (7) , as our team center was suspended (禁赛) for the season, and two key members decided to (8) for some reason. At this point, dropping out probably passed through every player’s mind, but in the end, we all stuck if out, (9) to work still harder.

Then there came a time when even our (10) and given up on us. Personally, I felt like it was (11) worthwhile giving my all. I thought, if even the coach doesn’t believe in us, why should I But just as my hope began to (12) , a teammate called a meeting. He said," Nobody thinks we are going to win, but, as teammates and friends, we (13) it to each other to go all out every game. "

It was that moment that (14) me how to be a leader. It hit me that I certainly didn’t (15) the role. As a leader you can never quit (16) the team who looks up to you. It is one (17) to be named captain, feel great and go through the motions, but it is quite another to be a real captain and make sure everyone realizes their full (18) all the time.

I am sure it is great to go through without losing and bringing home awards. But in all honesty, I (19) the fact that my team lost every game last year. It may not help me to become a better basketball player, but it already has made me a better leader, and (20)

2().

A.game

B.event

C.league

D.season

单项选择题