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Opgave
Gegeven is de formule $\eqalign{s=8-\frac{5}{t+2}}$. Hierin is $s$ de afgelegde weg in meter na $t$ seconden.
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Benader in m/s de snelheid op $t=1$ en op $t=2$. Neem beide keren $\Delta t=0,01$ en rond af op 2 decimalen.
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Uitwerking
$
\eqalign{
& \frac{{\Delta s}}
{{\Delta t}} = \frac{{s(1,01) - s\left( 1 \right)}}
{{0,01}} = \frac{{{\text{6}}{\text{,339 - 6}}{\text{,333}}}}
{{{\text{0}}{\text{,01}}}} \approx {\text{0}}{\text{,55 m\s}} \cr
& \frac{{\Delta s}}
{{\Delta t}} = \frac{{s(2,01) - s\left( 2 \right)}}
{{0,01}} = \frac{{{\text{6}}{\text{,753 - 6}}{\text{,75}}}}
{{{\text{0}}{\text{,01}}}} \approx {\text{0}}{\text{,31 m/s}} \cr}
$
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