AQA M1 2015 June — Question 8

Exam BoardAQA
ModuleM1 (Mechanics 1)
Year2015
SessionJune
TopicSUVAT & Travel Graphs

8 Two trains, \(A\) and \(B\), are moving on straight horizontal tracks which run alongside each other and are parallel. The trains both move with constant acceleration. At time \(t = 0\), the fronts of the trains pass a signal. The velocities of the trains are shown in the graph below.
\includegraphics[max width=\textwidth, alt={}, center]{01338c87-302c-420f-a473-39b0796ccaed-18_633_1077_475_424}
  1. Find the distance between the fronts of the two trains when they have the same velocity and state which train has travelled further from the signal.
  2. Find the time when \(A\) has travelled 9 metres further than \(B\).
    \includegraphics[max width=\textwidth, alt={}]{01338c87-302c-420f-a473-39b0796ccaed-20_2288_1707_221_153}