A driver is traveling 18.0 m/s when she sees a red light ahead. Her car is capable of decelerating at a rate of 3.40 m/s^2
A.) If it takes her 0.420 s to get the brakes on and she is 20.0 m from the intersection when she sees the light, will she be able to stop in time?
The distance travelled by car before she applies the break is:
From kinematics, the expression for the final velocity is:
Therefore, the total distance covered by the car before it stops is:
Since the car travels 55.21 m before it stops. Thus, the driver is not able to stop the car in time.
Therefore, no will be the answer.
The position of the car from the beginning of the intersection will be: