To determine the displacement of the car when it comes to a stop, we need to calculate the time it takes for the car to decelerate to a velocity of 0 m/s.
We can use the equation of motion:
v^2 = u^2 + 2as
where: v = final velocity (0 m/s, since the car comes to a stop) u = initial velocity (60 m/s) a = acceleration (-2 m/s^2, since the car is decelerating) s = displacement (unknown)
Rearranging the equation, we have:
s = (v^2 - u^2) / (2a)
Substituting the known values:
s = (0^2 - 60^2) / (2*(-2))
s = (-3600) / (-4)
s = 900 meters
Therefore, the displacement of the car when it comes to a stop is 900 meters.