Deer in the headlights. There are two important time intervals to consider when coming to an emergency stop while driving. The first is the driver’s reaction time to get a foot on the brake pedal, and the second is the time it takes to slow the car to a stop. Consider a car moving at 30 m/s (about 65 mi/h) when the driver sees a deer in the road ahead and applies the brakes. (a) If the driver’s reaction time is 1.1 s, how far does the car travel before the brakes are applied? (b) If the deer is 100 m away when the driver sees it, what acceleration is needed to stop the car without hitting the deer? (c) If the concrete streets are wet, will the car be able to stop without hitting the deer? (d) If the car cannot stop in time, how fast will it be going when it strikes the deer? If the car can stop in time, how far away from the deer will it come to rest?
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