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A motorist traveling at 100 km/h on a highway needs to take the next exit, which has a speed limit of 50 km/h. The section of the roadway before the ramp entry has a downgrade of 3% and the coefficient of friction ( f ) is 0.35. In order to enter the ramp at the maximum allowable speed limit, the braking distance (expressed in m) from the exit ramp is _________.
    Correct answer is between '92,93'. Can you explain this answer?
    Verified Answer
    A motorist traveling at 100 km/h on a highway needs to take the next e...

    Total energy lost between point (1) and (2)
    = Work done by frictional force

     
    = 0.35 × 9.81 × s
    289.815 = 3.1392 s
    s = 92.32 m
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    Most Upvoted Answer
    A motorist traveling at 100 km/h on a highway needs to take the next e...
    Calculation of Braking Distance

    Given:

    • Initial speed of the car (u) = 100 km/h

    • Speed limit of the exit ramp (v) = 50 km/h

    • Gradient or slope of the roadway before ramp entry (θ) = 3%

    • Coefficient of friction (f) = 0.35



    Formula: Braking distance (d) = (u^2 - v^2)/2gfθ

    Calculation:

    • Convert initial speed (u) and speed limit (v) from km/h to m/s


      • Initial speed (u) = 100 km/h = (100 * 1000)/3600 = 27.78 m/s

      • Speed limit (v) = 50 km/h = (50 * 1000)/3600 = 13.89 m/s


    • Convert gradient (θ) from percentage to decimal


      • θ = 3% = 0.03


    • Plug in the values in the formula to calculate braking distance (d)


      • d = (u^2 - v^2)/2gfθ

      • d = ((27.78)^2 - (13.89)^2)/(2 * 0.35 * 9.81 * 0.03)

      • d = 92.93 m (rounded to 2 decimal places)




    Answer: The braking distance from the exit ramp is 92.93 m.
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    A motorist traveling at 100 km/h on a highway needs to take the next exit, which has a speed limit of 50 km/h. The section of the roadway before the ramp entry has a downgrade of 3% and the coefficient of friction ( f ) is 0.35. In order to enter the ramp at the maximum allowable speed limit, the braking distance (expressed in m) from the exit ramp is _________.Correct answer is between '92,93'. Can you explain this answer?
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    A motorist traveling at 100 km/h on a highway needs to take the next exit, which has a speed limit of 50 km/h. The section of the roadway before the ramp entry has a downgrade of 3% and the coefficient of friction ( f ) is 0.35. In order to enter the ramp at the maximum allowable speed limit, the braking distance (expressed in m) from the exit ramp is _________.Correct answer is between '92,93'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A motorist traveling at 100 km/h on a highway needs to take the next exit, which has a speed limit of 50 km/h. The section of the roadway before the ramp entry has a downgrade of 3% and the coefficient of friction ( f ) is 0.35. In order to enter the ramp at the maximum allowable speed limit, the braking distance (expressed in m) from the exit ramp is _________.Correct answer is between '92,93'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A motorist traveling at 100 km/h on a highway needs to take the next exit, which has a speed limit of 50 km/h. The section of the roadway before the ramp entry has a downgrade of 3% and the coefficient of friction ( f ) is 0.35. In order to enter the ramp at the maximum allowable speed limit, the braking distance (expressed in m) from the exit ramp is _________.Correct answer is between '92,93'. Can you explain this answer?.
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