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

The minimum length for the slip road = 100 meter.

Step-by-step 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.