Minimum Car Deceleration to Avoid Collision: Solving a Confusing Highway Problem

[MrRottenTreats]

Question: You happen to be the one driving down the Highway that this person pulls in front of. You prepare to make a fast lane switch but are boxed in by a transport truck in the fast lane. Thus, you step on the brake pedal. You are traveling 27.777 .. m/s (100 km/h) and are 100 m behind the sports car when you begin to decelerate. The sports car is traveling 11.111 .. m/s (40 km/h) and is accelerating at 1 m/s^2. Solve for the minimum value of deceleration required by your car to just barely avoid a collision with the sports car.

i don't really know what to do.. i tried drawing a diagram to help, but its not working out for me, interpreting it.

 

[taffman123]

did u try it yet

 

[MrRottenTreats]

yea, i got the sports car being:
v1 = 11.111 .. m/s
a = 1 m/s^2
d = d
t = t (same for both)

your car
v1 = 27.77 .. m/s
d = d - 100
t = t
a = ?