Velocity-Time Graph question, can't do it

[acidvoodoo]

"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

ok, this is the first t,v graph i've drawn, so it could be painfully wrong, which may be my first problem, here it is is paint. i have T and then t because i know they must be different times, and didn't know how to do subscripts in paint.



i think you may have to drag and drop

i'm starred at it for ages thinking maybe i need to use trigonometry, but i just feel i have 2 many unknowns and am not sure where to start

any ideas?

 

[Yossarian]

if you wrote the problem correctly, there is no 't' and 'T', there is only 'T'. the time from A to B equals the time from C to D.

 

[acidvoodoo]

oh, stupid me, i guess that changes things a little then