[i]SMK Seri Aman launched a water rocket on the school field during the opening of the Mathematics and Science Carnival. The rocket was launched vertically upwards from the surface of the school field with a velocity, [/i][math]v[/math][math]ms^{-1}[/math][i] , given by , [/i][math]v=20-10t[/math][i] after seconds [/i][math]t[/math][i]from the surface of the field. The rocket stopped momentarily at time [/i][math]p[/math][i] seconds,[/i][br][br][i](a) Find value of[/i] [math]p[/math]

[i](b) Expressions [/i][math]t[/math][i] in terms of displacement, [/i][math]s[/math][i] meters, the rocket in [/i][math]t[/math][i] seconds[/i]

[i](c) Determine[br] (i) the maximum height, in meters, reached by the rocket[/i][br][br][br]

[i](ii) the time, in seconds, when the rocket touches the surface of the field[/i]