# How to arrive at answer for integration question

1. Dec 18, 2011

### 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)

1. The problem statement, all variables and given/known data

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

2. Relevant equations
3. 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

Last edited: Dec 18, 2011
2. Dec 18, 2011

### JHamm

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

3. Dec 18, 2011

### Alexenn

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

4. Dec 18, 2011

### SammyS

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