Q1. The altitude of a rock climber hours after she begins her ascent up a mountain is modelled by the equation: , where the altitude, , is measured in meters.

(a) [1 mark] Determine the altitude of the rock climber two hours after she begins her climb.

(b) [1 mark] Determine the altitude of the rock climber three hours after she begins her climb.

(c) [1 mark] Determine the AROC of the altitude of the rock climber between and hours after she begins her climb.

(d) [5 marks] Determine the IROC of the altitude of the rock climber hours after she begins her climb.

(e) [2 marks] What is the significance of the IROC value found in part (d)? Explain what this value tells us about the rock climber's travel at this point.