8. An aeroplane, travelling horizontally at a speed of \(55 \mathrm {~ms} ^ { - 1 }\) at a height of 600 metres above horizontal ground, drops a sealed packet of leaflets. Find

1. the time taken by the packet to reach the ground,
2. the horizontal distance moved by the packet during this time. The packet will split open if it hits the ground at a speed in excess of \(125 \mathrm {~ms} ^ { - 1 }\).
3. Determine, with explanation, whether the packet will split open.
4. Find the lowest speed at which the aeroplane could be travelling, at the same height of 600 m , to ensure that the packet will split open when it hits the ground. One of the leaflets is stuck to the front of the packet and becomes detached as it leaves the aeroplane.
5. If the leaflet is modelled as a particle, state how long it takes to reach the ground.
6. Comment on the model of the leaflet as a particle.