CAIE M1 2003 November — Question 7

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2003
SessionNovember
TopicSUVAT & Travel Graphs

7
\includegraphics[max width=\textwidth, alt={}, center]{5cba3e17-3979-4c22-a415-2cdd60f09289-4_547_1237_269_456} A tractor \(A\) starts from rest and travels along a straight road for 500 seconds. The velocity-time graph for the journey is shown above. This graph consists of three straight line segments. Find
  1. the distance travelled by \(A\),
  2. the initial acceleration of \(A\). Another tractor \(B\) starts from rest at the same instant as \(A\), and travels along the same road for 500 seconds. Its velocity \(t\) seconds after starting is \(\left( 0.06 t - 0.00012 t ^ { 2 } \right) \mathrm { m } \mathrm { s } ^ { - 1 }\). Find
  3. how much greater \(B\) 's initial acceleration is than \(A\) 's,
  4. how much further \(B\) has travelled than \(A\), at the instant when \(B\) 's velocity reaches its maximum.