6. The altitude of a rock climber t hours after she begins her ascent up a mountain is modelled by the equation a(t) = -10t² + 60t, where the altitude, a(t), is measured in metres. a. Determine the altitude of the rock climber 2 hours after she begins her climb. b. Determine the altitude of the rock climber 3 hours after she begins her climb. c. Determine the average rate of change of the altitude of the rock climber between 2 and 3 hours after she begins her climb. d. Determine the instantaneous rate of change of the altitude of the rock climber 3 hours after she

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