A cyclist rides a long a straight road. She passes three points A,B and C, in that order, where AB = 130m and BC = 120,. She passes B 10 seconds after she passed A and she passed C a further 15 seconds later. Assuming that the cyclist is travelling with constant acceleration find
a) the speed of the cyclist as she passes A and her acceleration
b) The distance AD where D is the point where the cyclist comes to rest
I tried to work out the first bit by writing out SUVAT for point A,B and C
Point A
S = 130
U = ?
V =?
A =?
t = t
Point B
S = 140
U = ?
V =?
A =?
t = t - 10
Point C
S = 250
U = ?
V =?
A =?
t = t - 25
I tried using lots of different SUVAT equations but I always have more than one unknown and I can't seem to get rid of any. So I can't work out any of the missing values. If anyone could help, that would be much appreciated.