8. In a fairground game, a contestant bowls a ball at a coconut 6 metres away on the same horizontal level. The ball is thrown with an initial speed of \(8 \mathrm {~ms} ^ { - 1 }\) in a direction making an angle of \(30 ^ { \circ }\) with the horizontal.
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1. Find the time taken by the ball to travel 6 m horizontally.
2. Showing your method clearly, decide whether or not the ball will hit the coconut.
3. Find the greatest height reached by the ball above the level from which it was thrown.
4. Find the maximum horizontal distance from which it is possible to hit the coconut if the ball is thrown with the same initial speed of \(8 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
5. State two assumptions that you have made about the ball and the forces which act on it as it travels towards the coconut.