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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Chapter2: Second-order Linear Odes
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d and e please.

6. The altitude of a rock climber t hours after she begins her ascent up a mountain is modelled by the
equation a(t) = −10+² +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
begins her climb.
e. What is the significance of the instantaneous rate of change value found in part d)? Explain what
this value tells us about the rock climber's travel at this point.
Transcribed Image Text:6. The altitude of a rock climber t hours after she begins her ascent up a mountain is modelled by the equation a(t) = −10+² +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 begins her climb. e. What is the significance of the instantaneous rate of change value found in part d)? Explain what this value tells us about the rock climber's travel at this point.
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