To find the velocity of a car starting from rest with a constant acceleration after a given distance, you can use the following equation of motion:
v^2 = u^2 + 2as
Where: v = final velocity u = initial velocity (in this case, 0 m/s as the car starts from rest) a = acceleration (2 m/s^2) s = distance (200 m)
Rearranging the equation, we get:
v^2 = 0^2 + 2 * 2 * 200
v^2 = 0 + 800
v^2 = 800
Taking the square root of both sides, we find:
v = √800
v ≈ 28.28 m/s
Therefore, the velocity of the car after it has gone 200 m is approximately 28.28 m/s.