Two children play a game in which they kick a ball over a wall of height 1.5 m. Assuming that the ground is horizontal and the ball is always kicked at 19 m s1 and at an angle of 45 to the horizontal, (a) 3. 1.5 m 450 find the maximum and minimum distances from the wall that the ball can be kicked in order to just clear the wall. (b) From a point on a plane hillside of inclination a to the horizontal a particle is projected at right angles to the plane with speed V. The particle subsequently strikes horizontal ground at C. The distances from the foot of the hill to the point of impact with the ground and the point of projection are each h. Show that 2V2 = gh cot () (i) (ii) If the speed just before impact is double the speed of projection, find the value of a.