5 A particle is projected with speed \(7 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle of elevation of \(30 ^ { \circ }\) from a point \(O\) and moves freely under gravity. The horizontal and vertically upwards displacements of the particle from \(O\) at any subsequent time \(t \mathrm {~s}\) are \(x \mathrm {~m}\) and \(y \mathrm {~m}\) respectively.
- Express \(x\) and \(y\) in terms of \(t\) and hence find the equation of the trajectory of the particle.
- Calculate the values of \(x\) when \(y = 0.6\).
- Find the direction of motion of the particle when \(y = 0.6\) and the particle is rising.