The \"reaction time\" of the average automobile driver is about 0.7 s . (The rea

Question

The "reaction time" of the average automobile driver is about 0.7 s . (The reaction time is the interval between the perception of a signal to stop and the application of the brakes.) An automobile can slow down with an acceleration of 13.8 ft/s2

Compute the total distance covered in coming to a stop after a signal is observed from an initial velocity of 15.4mi/h . (in a school zone)

Compute the total distance covered in coming to a stop after a signal is observed from an initial velocity of 56.2mi/h .

Explanation / Answer

15.4 mi/h=6.88 m/s

15.4mi/h=23.51 m/s

13.8 ft/s^2 = 13.8*0.3048 m/s^2

V^2=U^2+2 a s

0=6.88^2+ 2*-13.8*0.3048* s

s=5.626 m

V^2=U^2+2 a s

0=23.51^2+ 2*-13.8*0.3048* s

s=65.70 m

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