Aparticle is projected at time f 10i+20j+20k, the units being m/s, from the origin of rectangular cartesian coordinates, the direction of the vector k being vertically upwards. taking g as 10 m/s, find the velocity vector and the position vector at time t. a second particle is projected, also at time r point (0, 15,30), with velocity vector 10i+ 15j+30k. show that the particles will collide, stating the time at which this occurs and the position vector of the point of collision. if the masses of the particles are 3m, 2m kg respectively, and if they coalesce on collision, find their velocity vector immediately after the collision and show that there has been a total loss of kinetic energy since the particles of 1425mt joules.