When does a car accelerating from rest pass a truck at constant velocity?

[Washable_Marker]

Hello, thanks for reading =)

Let's just jump into it...
At the instant the light turns green, a car accelerates from rest at a rate of 1.8m/s^2. A truck gets to the intersection by the time the light changes [and therefore doesn't have to stop]. The truck is traveling at a constant velocity of 8.5m/s.

What will be the displacement of the car [assuming the intersection is 0] when it passes the truck, and at what time will this occur?

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I've been trying to solve it by using a displacement-time graph, but obviously the car will have a curved graph, and I can't figure out the equation of it's line. Any tips on how to go about this, as well as tips to solve the question would be great.

Thanks!

 

[Atomos]

you will find this formula useful:
$$d = v_i t + 1/2at^2$$

 

[Washable_Marker]

Aha! Just what I was looking for, and thanks for not giving me the answer outright, it made it much more rewarding to get the right answer.

Thanks again!

 

[Jameson]

Did you get the right answer? And I'm glad you appreciate when people don't just give away the solution. :)

 

[Washable_Marker]

Yep, got it. That was all I needed for it to click in my brain.