Distance Between Two People#

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

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

Emilia’s position is given by:

\(\vec{r_B} =\) (3\(+\)4\(t-\)3\(t^2)\hat{\imath} + (\)6\(+\)2\(t+\)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 Ahmed and Emilia when \(t\) = 1?

Answer Section#

  • 9.2 \(m\)

  • 4.6 \(m\)

  • 85.0 \(m\)

  • 11 \(m\)

  • 7 \(m\)

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.