Human nerve impulses travel at about 10 m/s. Estimate the minimum reaction time from the moment you perceive an obstacle in front of your car and the moment that your foot receives the command to press on the brakes. Consider your height as 1.73m. If the car is traveling at 80km/h, how many meters will you travel in this time?
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To estimate the minimum reaction time and the distance traveled, we need to consider the time it takes for the nerve impulses to travel from the point of perception to the foot and the distance covered by the car during that time.
First, let's calculate the time it takes for the nerve impulses to travel from the point of perception to the foot. Given that human nerve impulses travel at 10 m/s, and the height of a person is 1.73m, we can calculate the time using the formula:
Time = Distance / Speed
Time = 1.73 m / 10 m/s = 0.173 s
Next, let's calculate the distance traveled by the car during this reaction time. The car is traveling at 80 km/h, which can be converted to m/s as follows:
Speed = 80 km/h * (1000 m / 1 km) * (1 h / 3600 s) = 22.22 m/s
To calculate the distance, we use the formula:
Distance = Speed * Time
Distance = 22.22 m/s * 0.173 s = 3.84 m
Therefore, the estimated minimum reaction time is 0.173 seconds, and the car will travel approximately 3.84 meters during this time.