You are driving on a highway at 300 ms when a car enters

Question

Compute all parts of given question:

Question: You are driving on a highway at 30.0 m/s when a car enters the highway 30.0 m in front of you traveling at 10.0 m/s and accelerating at 2.00 m/s².

Part A: If you do not break (or change lanes), will you hit the car? If so, how far will you travel before hitting the car?

Part B: What acceleration is necessary so that you don't get any closer than 6.00 m from the car?

Please show all work and clearly explain each step.