7 A golf ball is struck from a point on horizontal ground so that it has an initial velocity of \(50 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle of \(40 ^ { \circ }\) above the horizontal.
Assume that the golf ball is a particle and its weight is the only force that acts on it once it is moving.
- Find the maximum height of the golf ball.
- After it has reached its maximum height, the golf ball descends but hits a tree at a point which is at a height of 6 metres above ground level.
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Find the time that it takes for the ball to travel from the point where it was struck to the tree.
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