The first $10\,\text{meters}$ of a $100\,\text{meter}$ dash are covered in $2\,\text{seconds}$ by a sprinter who starts from rest and accelerates with a constant acceleration. The remaining $90\,\text{meters}$ are run with the same velocity the sprinter had after $2\,\text{seconds}$.

Question

The first $10\,\text{meters}$ of a $100\,\text{meter}$ dash are covered in $2\,\text{seconds}$ by a sprinter who starts from rest and accelerates with a constant acceleration. The remaining $90\,\text{meters}$ are run with the same velocity the sprinter had after $2\,\text{seconds}$.(a) Determine the sprinter&#8217;s constant acceleration during the first $2\,\text{seconds}$.
, (b) Determine the sprinter&#8217;s velocity after $2\,\text{seconds}$ have elapsed.
, (c) Determine the total time needed to run the full $100\,\text{meters}$.
, (d) Draw the displacement vs time curve for the sprinter.
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Rita · Accepted Answer

$a = 5 \, \text{m/s}^2$
$v = 10 \, \text{m/s}$
$t_{\text{total}} = 11 \, \text{s}$
Graph displaying a parabolic curve for the first $2 \, \text{seconds}$, followed by a straight line with a slope of $0 \, \text{m/s}$ indicating constant velocity.

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