# How to arrive at answer for integration question

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

## 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:

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

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

SammyS
Staff Emeritus
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 .