Distance Between Two People

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

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

Abbas’s position is given by:

\(\vec{r_B} =\) (5\(+\)2\(t-\)2\(t^2)\hat{\imath} + (\)6\(+\)3\(t+\)3\(t^2)\hat{\jmath}\).

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

Part 1

What is the distance between Mateo and Abbas when \(t\) = 4?

Answer Section

• 85.0 \(\rm{m}\)

• 42.0 \(\rm{m}\)

• 7200.0 \(\rm{m}\)

• 94 \(\rm{m}\)

• 74 \(\rm{m}\)

Attribution

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