9709 P41 - Nov 2024 - Q5 - 10 marks
9883
Take \(g=10\,\mathrm{m\,s^{-2}}\). A particle A is projected vertically upwards from O with speed \(80\,\mathrm{m\,s^{-1}}\). One second later a particle B of the same mass is projected vertically upwards from O with speed \(100\,\mathrm{m\,s^{-1}}\). The particles collide and coalesce to form C at time T seconds after A was projected.
(a) Show that T=3.5. [4]
(b) Find the height above O at which they collide. [1]
(c) Find the time between A being projected and C reaching O. [5]
