Particle
The position vector of particle
The position vector of particle
The angle
The two particles collide.
- By first showing that
, verify that . (2 marks)
--- 5 WORK AREA LINES (style=lined) ---
- Show that the particles collide at time
. (1 mark)
--- 4 WORK AREA LINES (style=lined) ---
When the particles collide, their velocity vectors are perpendicular.
- Show that
. (3 marks)
--- 6 WORK AREA LINES (style=lined) ---
- Prior to the collision, the trajectory of particle
was a parabola. (Do NOT prove this.) - Find the height of the vertex of that parabola above the horizontal plane. Give your answer in terms of
. (2 marks)
--- 5 WORK AREA LINES (style=lined) ---