Excessive speed can be a contributing factor in causing accidents because it can foreclose the amount of time and distance available to stop. A driver moving at 60 mi/hr (use its equivalent: 27 m/s) comes over a rise and sees a car stalled in her lane 40 m ahead. She uses .4 sec reaction time before she engages the brakes which give the car an acceleration of -10 m/s^2. Is there a collision? (Hint: What happens to the car during the .4 seconds that the driver needs to engage the brake?
 The car in this problem has two accelerations (0 and -10 m/s/s); we need two tables of data. Solving for x allows us to find how far the car travels before the brakes are applied.  a = 0
t = .4 s
vo = 27 m/s

 
 So let us now find the distance needed to stop  x = ?
a = -10 m/s
vo = 27 m/s
v = 0

 The stalled car is toast

Last modified 08/16/06