5. Jack is at the top of a hill. At time t=0 he starts to cycle down to the bottom of the hill.He reaches the bottom in four minutes. He then stops cycling. Jack's height, in metres,above the bottom of the hill after t minutes is modelled by the function g(t)=t² −8t+c,for some constant c, 0≤ t ≤4.(In this question we are only considering vertical displacement; horizontal displacement can beignored.) a) Find the value of c. b) Interpret the meaning of the c in this model c) At what time was Jack 9 m above the bottom of the hill? d) Rearrange g(t) into the form q + (t+ p)² and state the values of the constants p and[2]9.