You are Here: Home >< Maths

# velocity time graph help (M1) watch

1. Hey, I was wondering if anyone could help me make sense of this question, it reads

6. Two cyclists, Ann and Bob, travel from P to Q along a straight path. Ann starts from rest as bob passes her at 3.5ms-1. Bob continues at this speed while Ann accelerates at 0.2ms-2 for T seconds until she attains her highest speed. at this moment both cyclists immediately start to slow down with constant but different decelerations, and they both come to rest at Q, 80 seconds after Ann started moving.
a) sketch both the velocity time graphs
b) if both cyclists travel the same distance, find
i) the value of T
ii) the distance between p and Q
iii) the magnitude of bobs deceleration

Thanks for the help, don't worry this isn't for a test or assessment and this is the only question out of 20 that i cant seem to make head nor tail of :P
2. Erm.....well Bob will start out with a horizontal line at 3.5, and then at T seconds go down with some gradient ending up at 80 seconds.

The other one will start at the origin, go vertical with a gradient of 0.2, and at time T, her velocity will be 0.2T, and at this point will go down again and finish at 80, so will be a lopsided triangle.

As there is only one unknown (T) you should be able to work it out as both areas are the same.

I reckon the area of the first guy is 3.5T + 0.5(80-T)(3.5) and the second guy is 0.5(T)(0.2T) + 0.5(80-T)(0.2T)

you can work that out easy.

### Related university courses

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:
Updated: January 26, 2010
The home of Results and Clearing

### 2,688

people online now

### 1,567,000

students helped last year
Today on TSR

### University open days

1. SAE Institute
Animation, Audio, Film, Games, Music, Business, Web Further education
Thu, 16 Aug '18
2. Bournemouth University
Fri, 17 Aug '18
3. University of Bolton
Fri, 17 Aug '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams