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Physics for Scientists and Engineers with Modern Physics
The position of a particle moving along the $x$ axis varies in time according to the expression $x=3 t^{2},$ where $x$ is in meters and $t$ is in seconds. Evaluate its position (a) at $t=$
3.00 $\mathrm{s}$ and $(\mathrm{b})$ at $3.00 \mathrm{s}+\Delta t .$ (c) Evaluate the limit of $\Delta x / \Delta t$ as $\Delta t$ approaches zero to find the velocity at $t=3.00 \mathrm{s}$ .