How to arrive at answer for integration question

[Alexenn]

Firstly, I am sorry if this is the wrong section (I really didn't know what each section meant, but I posted here since I am beginner)

Homework Statement

A stone is thrown up into the air at 20m/s is accelerated constantly downwards by gravity at about 10m/s²

Find the anti derivative of the acceleration

Note: I am not solving for C

Homework Equations

The Attempt at a Solution

The antiderivative of 20m/s is 10m/s²
and the antiderivate of -10m/s is -5m/s²

Neither of those match up to the answer, so I'm not sure how to arrive at the answer.

The answer in the book is v= -10t + c

Thankyou

 

[JHamm]

If you have $a = 10$ then you need to find $\int 10\ dt$. There's no need to include units in your integral.

 

[Alexenn]

Ah, thank you very much. Can finally get on with work! =)

 

[SammyS]

If you have $a = 10$ then you need to find $\int 10\ dt$. There's no need to include units in your integral.

That should be $a = -10$. Of course, the units are m/s² .