# The yellow caution light on a traffic signal should stay on long enough to allow a driver

## Question:

(a) Show that the yellow light should stay on for a time interval ∆ttight = ∆t r – (vo / 2a) + (si / vo) Where ∆tr is the driver’s reaction time, v0 is the velocity of the car approaching the light at the speed limit, a is the braking acceleration, and si is the width of the intersection.

(b) As city traffic planner, you expect cars to approach an intersection 16.0 m wide with a speed of 60.0 km/h. Be cautious and assume a reaction time of 1.10 s to allow for a driver’s indecision. Find the length of time the yellow light should remain on. Use a braking acceleration of - 2.00 m/s2.

Fantastic news! We've Found the answer you've been seeking!

## Step by Step Answer:

**Related Book For**

## Applied Statistics And Probability For Engineers

**ISBN:** 9781118539712

6th Edition

**Authors:** Douglas C. Montgomery, George C. Runger