A stone is projected from the origin with speed 30ms−1 making an angle of 37∘ with the horizontal. For the portion of the flight during which the stone is above ground level,
(i) obtain the quadratic equation whose roots give the possible horizontal distances x at which the height of the stone is 10m.
(ii) Solve the quadratic equation to find the two admissible values of x (if any). Use g=9.8ms−2.
(iii) State which of the two values corresponds to the ascending part of the trajectory and which to the descending part, giving a brief justification.