Accelerate&speed up&hasten&increase

　　1. Accelerate-强调比期待中要来的快

　　1.1sth/sb的加速

　　Eg:

　　车的加速

　　The car accelerate overtake me.

　　运动员的加速

　　The runner accelerate smoothlyaround the bend.

　　2. speed up通常指sth的变快

　　Eg:

　　The train soon speeded up.Can u try and speed things up abit?

　　3. hasten特指在没有充足的时间内，要完成某事

　　Eg:

　　She saw his frown and hasten toexplain.

　　4. Increase强调在数量，重量，价值上的增加。

　　On the increase=increasingHomelessness is on theincrease.