A-LevelMathematicsMechanics9709/41 · Oct/Nov 2020 · Q46 Marks
A particle P moves in a straight line. It starts from rest at a point O on the line and at time t s after leaving O it has acceleration a m s⁻², where a = 6t – 18. Find the distance P moves before it comes to instantaneous rest.
- Find the distance P moves before it comes to instantaneous rest.[6]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [*M1] Attempt to integrate a
- [#M1] Attempt to integrate v
- [A1] Both integrals correct
- [*DM1] Attempt to find t when v = 0
- [#DM1] Substitute limits correctly into s
- [A1] Answer must be positive
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