High School

You are driving at a speed of 29.6 m/s (66.2275 mph) when suddenly the car in front of you, previously traveling at the same speed, brakes. Considering an average human reaction time, you press the brakes 0.552 seconds later. Assume that the brakes on both cars are fully engaged and that the coefficient of friction is 0.933 between both cars and the road. The acceleration due to gravity is 9.8 m/s².

Calculate the magnitude of the acceleration of the car in front of you when it brakes. Answer in units of m/s².

Answer :

Final answer:

The acceleration of the car in front when it brakes, considering an average human reaction and the provided conditions, is approximately 9.14 m/s².

Explanation:

This question is about calculating the acceleration of the car in front when it brakes. The acceleration due to braking is calculated by multiplying the coefficient of friction with gravitational acceleration. For this case, the coefficient of friction is given as 0.933 and the gravitational acceleration is 9.8 m/s².

Therefore, the acceleration of the car in front when it brakes would be: 0.933 * 9.8 = 9.14 m/s² (approximately).

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