You are Here: Home >< Physics

# Proving SUVAT Equation June 2009

Announcements Posted on
Four hours left to win £100 of Amazon vouchers!! Don't miss out! Take our short survey to enter 24-10-2016
1. Attached is a graph of velocity against time.
My question is to prove that

s = ut + 1/2at^2

I start by finding the area of the rectangle, knowing that the area under the line gives displacement.

s = ut

I then find the area of the triangle

1/2 (v-u) * t

= 1/2 * at * t
= 1/2at^2

So I thought that the rectangle - area gives the area
being s = ut - 1/2 at^2

but why is this not the case?
Attached Images

2. Update - i am so silly sorry i noticed the mistake.
3. (Original post by nwmyname)
Attached is a graph of velocity against time.
My question is to prove that

s = ut + 1/2at^2

I start by finding the area of the rectangle, knowing that the area under the line gives displacement.

s = ut

I then find the area of the triangle

1/2 (v-u) * t

= 1/2 * at * t
= 1/2at^2

So I thought that the rectangle - area gives the area
being s = ut - 1/2 at^2

but why is this not the case?
you're trying to do this...

4. (Original post by Joinedup)
you're trying to do this...

I know haha I looked at it from completely the wrong way!

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
1. Oops, you need to agree to our Ts&Cs to register

Updated: April 20, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

### Who is getting a uni offer this half term?

Find out which unis are hot off the mark here

### How to get a 1st class degree

Poll
Study resources

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.