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Activity 1.2.3

Avg difficulty 2.5

Consider a moving object whose position function is given by s(t)=t2s(t) = t^2, where ss is measured in meters and tt is measured in minutes.

  1. Determine the most simplified expression for the average velocity of the object on the interval [3,3+h][3, 3+h], where h>0h \gt 0.

  2. Determine the average velocity of the object on the interval [3,3.2][3,3.2]. Include units on your answer.

  3. Determine the instantaneous velocity of the object when t=3t = 3. Include units on your answer.

Boelkins, Active Calculus, §1.2 The notion of limit, Activity 1.2.3

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Adapted from Active Calculus © 2012–2025 Matthew Boelkins. Licensed under CC BY-SA 4.0. Source: Active Calculus. Imported at revision dc86ba3.