A train moves on a straight, level track. When $t = 0$, it goes past station P at a steady speed and does not come to a stop.
The driver starts braking 70 s before the train reaches station Q, so the train slows down.
Fig. 1.1 shows the train's speed-time graph from $t = 0$ until it comes to rest at station Q.
(a)[3]
Using Fig. 1.1, determine the distance from station P to station Q.
(b(i))[2]
The train has a mass of $3.8 \times 10^5\,\text{kg}$. Determine the deceleration of the train in the 70 s before it reaches station Q.
(b(ii))[2]
Calculate the resultant force acting on the train as it decelerates.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Distance obtained from the area beneath the speed-time graph (e.g. $77\times56 + \tfrac{1}{2}\times77\times70$)” …