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Student Faizan is given the task of studying the motion of two projectiles. Each projectile moves in a straight line path. having started their motion at different times. The position of each projectile is described with reference to a standard Cartesian co-ordinate system. All distances are measured in centimetres. Projectile 1 moves in the straight line path given parametrically by x = 5 + 41, y = 3 + 4t, 2 = 6 + 8t, where parameter 1 z 0. Projectile 2 moves in the straight line path given parametrically by x = -25 + 65, y = 8 + s. z = 9 + as. where parameter s 2 0. 1.1 An object is positioned at the point with act-ordinates (132. 182. 232). Verify that it does not lie on the path of either projectile. Faizan must determine the value of the parameters and the corresponding co-ordinates of the point where projectile 2 is closest to this object. How far apart they then are is also to be determined. 1.2 Perform the necessary analysis to determine these features of the motion of projectile 2, Faizan is condent that the two projectiles would collide. 1.3 Determine the parameter values where the projectiles would collide. the co- ordinates of the point of collision. and how far this is away from the object. Comment on what this means relative to the findings in 1.2