Two riders on dune buggies sit \(10 \mathrm{~m}\) apart on a long, straight track, facing in opposite directions. Starting at the same time, both riders accelerate at a constant rate of \(2.0 \mathrm{~m} / \mathrm{s}^{2}\). How far apart will the dune buggies be at the end of \(3.0 \mathrm{~s}\) ?
THINKING IT THROUGH. The dune buggies are initially \(10 \mathrm{~m}\) apart, so they can be positioned anywhere on the \(x\)-axis. It is convenient to place one at the origin so that one initial position \(\left(x_{\mathrm{o}}\right)\) is zero. A sketch of the situation is shown in \(abla\) Figure 2.13.

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x=0 Initial separation = 10 m x = 10 m Final separation?