- 物理学(全国中医药行业高等教育“十四五”规划教材)
- 章新友 侯俊玲主编
- 75字
- 2023-08-15 18:42:20
三、直线运动
在匀变速直线运动中,质点加速度为常量,即a=常量,则由式1-7有
dυ=
adt
积分得
![](https://epubservercos.yuewen.com/B9B366/26521118509328306/epubprivate/OEBPS/Images/txt001_19.jpg?sign=1739174724-z1bmTEw4alvcJxFbLhLs5BHiHJsnFZcn-0-968bbf4963bae4b2e4ba17d749fbdb4b)
(1-9)
将上式代入式1-5,有
![](https://epubservercos.yuewen.com/B9B366/26521118509328306/epubprivate/OEBPS/Images/txt001_20.jpg?sign=1739174724-Tk3crWJmb4WbZygE8ugdz0HgjdZ0bDwZ-0-70d8fad1ba284014b6f3fb07656f9c27)
积分得
![](https://epubservercos.yuewen.com/B9B366/26521118509328306/epubprivate/OEBPS/Images/txt001_21.jpg?sign=1739174724-ogZsi8sS1WDOA9PB22M2ePEUx6bInNmZ-0-1addadf5946b95820911286e81ece320)
若s0=0,则
![](https://epubservercos.yuewen.com/B9B366/26521118509328306/epubprivate/OEBPS/Images/txt001_22.jpg?sign=1739174724-n8XMOb9H6JV57JKxOrRhJHSDWh47bqtN-0-06218b6fecbebd893ec19cbf29321f66)
(1-10)
将式1-9和式1-10中消去参数t,可得
![](https://epubservercos.yuewen.com/B9B366/26521118509328306/epubprivate/OEBPS/Images/txt001_23.jpg?sign=1739174724-k0EkTtihTdiE68Os1aRbdWBg7VG9Xo0N-0-978b09951522b683905fe1893296df9d)
(1-11)
在匀变速直线运动中,质点加速度为常量,即a=常量,则由式1-7有
dυ=
adt
积分得
(1-9)
将上式代入式1-5,有
积分得
若s0=0,则
(1-10)
将式1-9和式1-10中消去参数t,可得
(1-11)