87. If you are driving and spot an object in the road, the distance it will take
ID: 3185309 • Letter: 8
Question
87. If you are driving and spot an object in the road, the distance it will take you to stop is equal to the sum of the following: nks al . The reaction distance is the distance you will continue to travel before you hit the brakes. The braking distance is the distance you will travel as you The reaction and braking distances are shown in Table 9 for a. Let R(s) be the reaction distance (in feet) when driving at on) are braking. various driving speeds. s miles per hour. Find an equation of R. b. The braking distance (in feet) B(s) can be modeled by the function B(s) 0.063s2, where s is the driving speed (in mph) just before braking. Find an equation of the sum function R B.Explanation / Answer
87. (a) 1 mile/hr = 1 × 5280 feet/3600 s = 1.47 ft/s
Thus the required equation is, R(s) = 1.47s × t
Where t is the reaction time typically in the range from 0.5s to 2s.
(b) The equation for the sum is,
D = R+B , D= distance in which you stop
= 1.47s × t + 0.063s^2
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