问题 计算题

一质点做单向直线运动。

(1)若前一半时间的平均速度为v1,后一半时间的平均速度为v2,则全程的平均速度为多大?

(2)若前一半位移的平均速度为v1',后一半位移的平均速度为v2',则全程的平均速度为多大?

答案

解:(1)设全程的时间为2△t,则前一半时间内的位移△x1= v1△t,后一半时间内的位移△x2=v2△t,则全程位移△x=△x1+△x2=(v1+v2)△t,故全程平均速度

(2)设全程位移为2△x,则前一半位移的时间为,后一半位移的时间为,故全程平均速度为

单项选择题
完形填空
完形填空。
     Recently divorced in my 30s, I had no job and was on my way downtown on a rainy day to go to the
employment offices. I had no umbrella, for my old one had   1   apart, and I couldn't afford another one.
     I sat down in the streetcar-there against the   2   was a beautiful silk umbrella with a silver handle inlaid
with gold and bright enamel (珐琅). I had never seen anything so lovely. I   3   the handle and saw a name
on it. The   4   procedure would have been to turn in the umbre la to the conductor, but I decided to take
it and find the   5   myself.
     I got off the streetcar in a downpour and   6   opened the umbrella to protect myself. Then I searched
a telephone book for the   7   on the umbrella and found it: I called and a lady answered. Yes, she said in
   8  , that was her umbrella, which her parents, now dead, had given her as a birthday present, but it'd
been   9   from her locker at school years before.
     She was so excited that I forgot I was looking for a job and went  10  to her house. She took the umbrella,
her eyes filled with tears. I was only too happy to see her get back the lost umbrella, and get a job she offered
me.
( )1.A. taken     
( )2.A. seat        
( )3.A. watched    
( )4.A. usual      
( )5.A. thief      
( )6.A. hopefully  
( )7.A. name     
( )8.A. happiness
( )9.A. robbed     
( )10.A. simply   
B. torn          
B. door          
B. shook         
B. ordinary      
B. owner         
B. helpfully     
B. number       
B. disappointment  
B. stolen        
B. calmly       
C. broken       
C. engine        
C. examined     
C. normal       
C. robber       
C. carefully     
C. address      
C. laughter     
C. taken         
C. directly   
D. fallen    
D. floor     
D. tested    
D.odd        
D. keeper                    
D. slowly    
D. brand     
D. surprise  
D. hidden    
D. suddenly