page 07 MARKS 15. A jet takes off from an origin with an initial velocity of 1 240 0 kmh 50            . It then accelerates in a straight line at a constant rate of 2 3000 0 kmh 80          for 12 minutes. (a) (i) Calculate the speed of the jet at this time. (ii) Find the position of the jet at this time. The jet now maintains this speed but on a horizontal course parallel to the x‑axis. A wind blows with velocity 1 10 50 kmh 0              . (b) (i) Calculate the angle at which the jet is blown off course. (ii) Calculate the horizontal component of the displacement of the jet, 90 minutes after take‑off. 16. A particle of mass 0.1 kg is launched at an acute angle to the horizontal, from the origin, with a kinetic energy of 20 joules. It moves in a vertical x‑y plane under the influence of gravity and there is no resistance to motion. (a) Find the speed of the particle when it is at a height of 10 metres. (b) Find the height of the particle when it has a velocity of 4 5    m s−1. (c) Determine the kinetic energy of the particle at its maximum height. [END OF QUESTION PAPER] 2 2 2 3 2 2 1 page 08 [BLANK PAGE] DO NOT WRITE ON THIS PAGE