Question

A motor way designer can assume that cars approching a motorway enter a slip road with a velocity of 10m/s and reach a velocity of 30m/s before joining the motorway. Calculate the minimum length for the slip road, assuming that vehicles have an acceleration of 4.0m/s2

Answer 1

Answer:

   The minimum length for the slip road = 100 meter.

Explanation:

We have equation of motion, $v^2=u^2+2as$, where u is the initial velocity, u is the final velocity, s is the displacement and a is the acceleration.

 In this case initial velocity = 10 m/s, final velocity = 30 m/s and acceleration = $4m/s^2$, we need to find displacement.

 Substituting

     $30^2=10^2+2*4*s\\ \\ 800=8s\\ \\ s=100meter$

  The minimum length for the slip road = 100 meter.