Mathematics > Edexcel > 2022 pearson june booklet + mark scheme Pearson Edexcel International GCSE 4PM1/02 Further Pure Math (All)

2022 pearson june booklet + mark scheme Pearson Edexcel International GCSE 4PM1/02 Further Pure Mathematics PAPER 2

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Answer all ELEVEN questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1 Find the set of values of k for which the equation 2kx2 + 5kx + 5k –... 3 = 0 where k ≠ 0 has real roots. (4) .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. (Total for Question 1 is 4 marks)4 *P71666A0436*  2 A particle P moves along the x‑axis. At time t seconds, the displacement, x metres, of P from the origin O is given by x = t4 – 13.5t + 12 (a) Find the velocity, in m/s, of P when t = 3 (2) (b) Find the value of t for which P is instantaneously at rest. (2) (c) Find the acceleration, in m/s2, of P when t = 2 (2) .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. ........................................................................................................ [Show More]

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