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.