Bad drivers

You are driving a car at 30 m/s30\text{ m/s} when a bad driver traveling at a constant speed of 20 m/s20\text{ m/s} swerves into your lane 2020 meters ahead. As soon as you see the car in front of you, you begin to brake. What is the smallest deceleration needed, in m/s2,\text{m/s}^2, to avoid rear-ending the car? You may assume your acceleration is constant.

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