cameroon gce A level June 2019 pure mathematics with mechanics 3

cameroon gce A level June 2019 pure mathematics with mechanics 3

cameroon gce A level June 2019 pure mathematics with mechanics 3

The position vector of a particle P, of mass 6 kg, at time t seconds is r, where
r = [(18t — 4t3)i + t2j] m.
(a) Find the kinetic energy of P when t = 1.
(b) Calculate the magnitude of the force acting on P when t = 2.
(c) Determine, to 2 decimal places, the value of t for which the velocity and the
acceleration vectors of P are at right angles . (3 marks)

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