Video Set Introduction

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Before watching the videos, think about and answer these questions to the best of your ability. We want to know how you’re thinking about the ideas, so your answers will always be marked correct.

An object is moving forward along a straight line. The distance the object travels (in meters) from its starting position $t$ seconds after it started moving is given by $s(t) = \dfrac {t}{2+t}$ . Determine the average velocity of the object over the interval from $t = 1$ to $t = 4$ .

$0$ $\dfrac {1}{9}$ $\dfrac {4}{9}$ $1$ $\dfrac {9}{4}$ $9$

The following graph represents the distance-time relationship for Kevin and Carrie as they cycled on a road from mile marker 225 to mile marker 230. Compare Kevin and Carrie’s average speeds from 0 to 17 minutes after they passed mile marker 225.

Kevin’s average speed was greater than Carrie’s. Carrie’s average speed was greater than Kevin’s. Kevin and Carrie’s average speeds were the same. It is not possible to tell from this graph.