To determine the velocity of the car after it has traveled a certain distance, we can use the following kinematic equation:
v^2 = u^2 + 2as
Where: v = final velocity u = initial velocity (in this case, the car starts from rest, so u = 0) a = acceleration s = distance traveled
Plugging in the given values: u = 0 m/s a = 2 m/s^2 s = 200 m
v^2 = 0^2 + 2 * 2 * 200 v^2 = 0 + 800 v^2 = 800
To find the velocity, we take the square root of both sides:
v = √800
v ≈ 28.28 m/s
Therefore, the velocity of the car after traveling 200 m with an acceleration of 2 m/s^2 is approximately 28.28 m/s.