The car will travel approximately 29.63 meters while coming to a complete stop.
To find the distance the car will travel while coming to a complete stop, we can use the equation:
vf^2 = vi^2 + 2ad
Where:
- vf is the final velocity, which is 0 m/s in this case because the car comes to a complete stop
- vi is the initial velocity, which is 25 m/s
- a is the acceleration, which is -5.4 m/s² (negative because the car is decelerating)
- d is the displacement, which is what we're trying to find
Plugging in the values we have:
0 = (25)^2 + 2(-5.4)d
Solving for d:
d = -((25)^2) / (2(-5.4))
After calculating, we find that d = 29.63 meters. So the car will travel approximately 29.63 meters while coming to a complete stop.