Question

A train is moving along a straight section of a track with a velocity of 180km/hr. The braking acceleration is 2m/s2. At what distance from a train station should the train driver apply the brake so that the train stops at the station

Answer 1

First convert 180km/hr into m/s
                      180 x 5/18
                     = 50m/s

Now , we know that v = u + at
                                0 = 50 + 2t
                             -50 = 2t
                                 t = -50/2 = -25 = 25 seconds

We know that s = ut + $1/2at^{2}$
                       s = (50)(25) + 1/2 $((-2)(25))^{2}$
                          = 1250 + 1/2 $50^{2}$
                          = 1250 + 1250
                          = 2500m

Mark as brainliest as I spent a lot of time and effort doing this while I should have been doing my project :)