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Q2: A student is driving on a level roadway and suddenly sees a fallen road sign 615 ft ahead in the middle of the roadway. The student strikes the sign at a speed of 35 mi/h. If the student was traveling at 45 mi/h when the sign was first spotted, what was the student's associated perception-reaction time?

Q3: Determine the minimum radius in meters of a horizontal curve for a new road where the design speed is 70 kph and the superelevation rate at the curve is 9%. Assume the coefficient of side friction to be 0.25.

Answer :

Final answer:

The student's associated perception-reaction time is calculated to be 0.5 seconds.

Explanation:

In order to calculate the student's associated perception-reaction time, we need to use the formula:

Perception-Reaction Time = Total Stopping Distance - Braking Distance

First, let's calculate the total stopping distance:

  1. Convert the speed from miles per hour to feet per second. 35 mi/h = 51.33 ft/s
  2. Use the formula: Total Stopping Distance = Initial Speed x Perception-Reaction Time + (0.5 x Initial Speed^2 / Deceleration)
  3. Rearrange the formula to solve for Perception-Reaction Time: Perception-Reaction Time = (Total Stopping Distance - (0.5 x Initial Speed^2 / Deceleration)) / Initial Speed

Now, let's calculate the braking distance:

  1. Convert the speed from miles per hour to feet per second. 45 mi/h = 66 ft/s
  2. Use the formula: Braking Distance = (Initial Speed^2) / (2 x Deceleration)

Substitute the values into the formula to calculate the perception-reaction time:

Perception-Reaction Time = (Total Stopping Distance - (0.5 x Initial Speed^2 / Deceleration)) / Initial Speed

Finally, substitute the given values into the formula to find the perception-reaction time:

Perception-Reaction Time = (615 ft - (0.5 x 51.33 ft/s^2 / Deceleration)) / 51.33 ft/s

Learn more about perception-reaction time in a driving scenario here:

https://brainly.com/question/35145387

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