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Timed Test For
Derivatives basics challenge
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Sample Problem
The table gives the position $S$ of a skateboarder for $t\in[0,5]$ where the distance traveled $S$ is measured in meters and $t$ is time in seconds. Assume the skateboarder is accelerating during the five-second period. $t$ (seconds)|$0$|$1$|$2$|$3$|$4$|$5$ :-:|:-:|:-:|:-:|:-:|:-:|:-: $S$ **(meters)**|$0$|$1.4$|$6.3$|$14.7$|$26.7$|$42.1$ The velocity at $t=3$ is given by $\displaystyle v(3)=S^\prime (3)$. Approximate the value of $v(3)$ by averaging the slope of two secants.
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Duration
30 seconds
60 seconds (1 minute)
120 seconds (2 minutes)
180 seconds (3 minutes)
300 seconds (5 minutes)