(a) A particle is projected from a point Pat an angle of 30 to the horizontal....

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(a) A particle is projected from a point Pat an angle of 30° to the horizontal. It is aimed at a small target Q, where P and Q are on the same horizontal level. The particle falls 20 m short of Q. 3. When the particle is projected from P with the same speed but at an angle of 45° to the horizontal, it falls 30 m beyond Q. Find, correct to two decimal places, (i) the speed of the particle as it is projected (ii) |PQ|, the distance from P to Q (iii) the angle of projection so that the particle strikes the target. A plane is inclined at an angle of tan-12 to the horizontal. A particle is projected up the plane with initial speed um s-l at an angle of 0 to the inclined plane. The particle is moving horizontally when it strikes the inclined plane. (b) The plane of projection is vertical and contains the line of greatest slope. Show that tan 0 = (a) A particle is projected from a point Pat an angle of 30° to the horizontal. It is aimed at a small target Q, where P and Q are on the same horizontal level. The particle falls 20 m short of Q. 3. When the particle is projected from P with the same speed but at an angle of 45° to the horizontal, it falls 30 m beyond Q. Find, correct to two decimal places, (i) the speed of the particle as it is projected (ii) |PQ|, the distance from P to Q (iii) the angle of projection so that the particle strikes the target. A plane is inclined at an angle of tan-12 to the horizontal. A particle is projected up the plane with initial speed um s-l at an angle of 0 to the inclined plane. The particle is moving horizontally when it strikes the inclined plane. (b) The plane of projection is vertical and contains the line of greatest slope. Show that tan 0 =