问题 计算题

(14分)甲、乙两车在同一轨道上同向匀速行驶,甲车的速度为v1=16m/s,乙车的速度为v2=12m/s,乙车在甲车的前面,两车相距L=6m。某时刻两车同时开始刹车,甲车的加速度为a1=2m/s2,6秒后立即改做匀速运动,乙车刹车的加速度为a2=1m/s2,求:

(1)从两车刹车到甲车第一次追上乙车的时间;

(2)两车相遇的次数。

(3)从两车刹车到两车速度相等经过的时间;

答案

(1) 2s (2) 3次 (3) 4s  8s

题目分析:(1)甲减速时,设经过t时间相遇,甲、乙位移分别为x1、x2,则:

 

而x1=x2+L  解得:t1=2s,t2="6s" 则第一次甲追上乙用时2s

(2)当t2=6s时,甲车速 乙车速 则t2后乙车在前面,设再经过Δt甲追上乙,有 解得:Δt=4s,此后,乙不能再追上甲,故甲乙相遇三次。

(3)设第一次等速经过的时间为t5,则 解得t5=4s。设第三次等速经过的时间为t6,则 解得:t6=8s

填空题
阅读理解

阅读理解。

     ●What prevents depression; tea, coffee or hot chocolate?

    Women who drink for or more cups of coffee a day are a fifth less likely to become depressed.

Drinking two or three cups reduces the risk by 15 percent. This is the result of a study of 51,000 women

over ten years, published in the Journal of the American Medicine Association.

     One theory is that caffeine reduces the  effect of the chemical adenosine (腺苷) in the brain, which

can make us feel sleepy by slowing down nerve cell activity. Some anti-depressants also work by

blocking the adenosine receptors. Coffee was found to be far more influential on depression levels than

hot chocolate or tea due to the high caffeine content.

     ●How many eggs can we healthily eat: one a day or two a day?

     Neither-eat them freely. We've long been warned to stick to two or three eggs a week because of

their high cholesterol (胆固醇) content. But according to the Food Standards Agency, there is no

recommended limit to how many eggs we can healthily eat, unless you have been told to cut down by

your doctor.

     There is no evidence that eating eggs raises  cholesterol levels, and researchers found that eggs contain

less cholesterol than in the past because hens are no longer given bone meal, which was banned in the

1990s after the BSE (疯牛病) crisis.

     Research by the British Egg Council found that a medium egg gives you around 100 mg of cholesterol, a third of the 300mg recommended daily limit.

1. What is considered to fight depression best?

A. Tea.    

B. Chocolate.    

C. Adenosine.    

D. Coffee.

2. We can infer from the text that    __   

A. too much caffeine will probably make people sleepy

B. coffee contains less caffeine than tea or hot chocolate

C. one is depressed if his brain chemical adenosine is active

D. tea and hot chocolate have no effect on men's depression

3. What can we learn about eggs from the text? 

A. We should stick to two or three eggs a week in general.

B. Eat as many eggs as you like unless your doctor advises you not to.

C. Eggs contain more cholesterol at present than ever before.

D. One egg daily and you'll get more cholesterol than recommended.