- #1

- 23

- 0

## Homework Statement

A train travels between two stations 4.5km apart. If the maximum acceleration is 3m/s

^{2}and the greatest deceleration is 4.5m/s

^{2}, find the shortest time between the two stations if the maximum speed allowed is 100km/hr.

Max Acc. = 3ms

^{-2}

Max Dec. = 4.5ms

^{-2}

Max speed = 100kmhr

^{-1}= 27.778ms

^{-1}

Distance = 4.5km = 4500m

## Homework Equations

v = ds/dt

a = dv/dt

vdv = ads

## The Attempt at a Solution

I have done questions similar to this one. However, I have never seen a question where you are only given distance, max acceleration & deceleration and speed and you are told to find time. Thus, I have not been able to make an attempt at this question. I would appreciate any help to steer me in the right direction with this problem.

Cheers