I'm stuck on part a for this assignment. my initial approach was to use 2 delta x equations and set them equal to each other. After that, I would solve those equations for t. However my answer does not look like what they have.

Problem 1 [10 points] Imagine two cars are having a race on a highway (dangerous!). At f - 0, they pass the start line with speeds v10 for car 1 and v20 for car 2 with v10 - 12.9. Car 1 keeps its velocity throughout while car 2 keep its velocity only till { - to and then undergoes a constant acceleration a > 0. (a) Show that the time at which car 2 catches up with car 1 is 210 72.0 Lcatch - to+ a (210 - 120)2 + 2ato(01,0 - (2.0) (1) Now, let's put in numbers. Set 210 - 100 km/h, v20 - 80.0 km/h, to - 2.00's and a = 3.00 m/s?. Make your final answers valid to 3 significant figures. (b) Find featch in seconds (c) Find the distance d that each car traveled from t - 0 to t - tent in meters. (d) Find the speed of car 2 at 2 - featch in km/h