8 A cricket ball is hit at ground level on a horizontal surface. It initially moves at \(28 \mathrm {~ms} ^ { - 1 }\) at an angle of \(50 ^ { \circ }\) above the horizontal.
- Find the maximum height of the ball during its flight.
- The ball is caught when it is at a height of 2 metres above ground level, as shown in the diagram.
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Show that the time that it takes for the ball to travel from the point where it was hit to the point where it was caught is 4.28 seconds, correct to three significant figures. - Find the speed of the ball when it is caught.