5. A firework company is testing its new brand of firework, the Sputnik Special. One of the company's employees lights a Sputnik Special on a large area of horizontal ground and it takes off at a small angle to the vertical. After a flight lasting 8 seconds it lands at a distance of 24 metres from the point where it was launched. The employee models the firework as a particle and ignores air resistance and any loss of mass which the Sputnik Special experiences. Using this model, find for this flight of the Sputnik Special,

1. the horizontal and vertical components of the initial velocity,
2. the initial speed, correct to 3 significant figures,
3. the maximum height attained.
4. Comment on the suitability of the modelling assumptions made by the employee.