[i]A particle moves along a straight line from the starting point. The velocity, [math]v[/math][math]ms^{-1}[/math], of the particle at a time [math]t[/math] instant after passing the starting point is given by and h and k are constants. The particle comes to a stop after 3 seconds with an acceleration at that instant of [math]9ms^{-1}[/math]. Find[br][Assume motion to the right as positive.][br][/i][br][i](a) the value of h and the value of k,[/i]

[i](b) the time, in seconds, when the particle returns to its starting point,[/i]

[i](c) the acceleration, in [/i][math]ms^{-2}[/math][i], when the particle returns to its starting point,[/i]

[i](d) the total distance, in m, travelled by the particle in the first 5 seconds.[/i]