Distance Between Two People

The position of Emilia as a function of time is given by:

\(\vec{r_A} =\) (2\(+\)3\(t-\)3\(t^2)\hat{\imath} + (\)4\(+\)2\(t-\)3\(t^2)\hat{\jmath}\)

Savannah’s position is given by:

\(\vec{r_B} =\) (3\(+\)2\(t-\)2\(t^2)\hat{\imath} + (\)4\(+\)2\(t+\)1\(t^2)\hat{\jmath}\).

The positions \(\vec{r_A}\) and \(\vec{r_B}\) are in meters and \(t\) is in seconds.

Part 1

What is the distance between Emilia and Savannah when \(t\) = 1?

Answer Section

• 4.1 \(\rm{m}\)

• 2.1 \(\rm{m}\)

• 17.0 \(\rm{m}\)

• 5 \(\rm{m}\)

• 3 \(\rm{m}\)

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.