How Do You Calculate Acceleration and Travel Distance from Velocity-Time Graphs?

[New2Science]

As a car passes point A on a straight road, it's speed is 10m/s, the car moves with constant acceleration, a m/s/s, along the road for T seconds until it reaches point B, where it's speed is Vm/s.
The car travels at this speed for a further 10 seconds, when it reaches the point C. From C it travels for a further T seconds with constant acceleration 3a m/s/s until it reaches a speed of 20 m/s at the point D.

Sketch the [t,v] graph for the motion, and show that V=12.5

I had no problem with showing V = 12.5 through a simultaneous equation.

However part B states,
The distance from A to D is 675m, find a and T

Any help will be so very greatly appreciated!
Thanks in advance
New2Science

 

[voko]

The area under the graph of velocity is the distance traveled. The area, as should be obvious from the sketch, is a sum of three simple areas. Together with the equation you used for velocity, you should be able to determine a and T from it.

 

[azizlwl]

If you can sketch the [t,v] graph for the motion, then you can deduce the answer.
The area under the graph is the distance.

 

[New2Science]

Thanks a lot for the help!

I got it now (:

Thanks Again