A train travels from A to B, a distance of 20000 m, taking 1000 s. The journey has three
stages. In the first stage the train starts from rest at A and accelerates uniformly until its speed
is V ms−1
. In the second stage the train travels at constant speed V ms−1
for 600 s. During
the third stage of the journey the train decelerates uniformly, coming to rest at B.
(i) Sketch the velocity-time graph for the train’s journey. (ii) Find the value of V.
(iii) Given that the acceleration of the train during the first stage of the journey is 0.15 ms−2
,
find the distance travelled by the train during the third stage of the journey