You are Here: Home >< Maths

# Integral calculus

Announcements Posted on
Why bother with a post grad? Are they even worth it? Have your say! 26-10-2016
1. I am unsure how to work out the following equation: v=5+3t^2 t is time in seconds. I need to find the distance after 2 seconds knowing after 1 second the object has traveled 10 meters.
2. (Original post by GriffinFree)
I am unsure how to work out the following equation: v=5+3t^2 t is time in seconds. I need to find the distance after 2 seconds knowing after 1 second the object has traveled 10 meters.
v=5+3t^2 -> distance = integral of 5+3t^2 = 5t + t^3 + c.
when t=1, distance=10, so 10 = 5 + 1 + c -> c=4
thus 5*2 + 2^3 + 4 = 10 + 8 + 4 = 22 m.
3. The derivative of distance is velocity. Since you have an equation for velocity, you can integrate to find an equation for distance.

The question gives you a value to substitute in order to calculate the constant of integration.

## 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
your full birthday is required
1. Oops, you need to agree to our Ts&Cs to register

Updated: May 27, 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

Poll
Useful resources

## Make your revision easier

### Maths Forum posting guidelines

Not sure where to post? Read here first

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

Can you help? Study help unanswered threads

## Groups associated with this forum:

View associated groups
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.