Vehicle Velocity#

A pickup truck’s position as a function of time is given by \(\vec{r} =\) (\(t^2 -\) \(t)\hat{\imath} + (\) \(t^{-1}+\) \(t^3)\hat{\jmath}\) where \(\vec{r}\) is in meters and \(t\) is in seconds.

Part 1#

What is the pickup truck’s velocity at \(t=\) 1 \(s\)?

Answer Section#

  • (3\(\hat{\imath}\) - 6\(\hat{\jmath}\)) \(m/s\)

  • (3\(\hat{\imath}\) + 3\(\hat{\jmath}\)) \(m/s\)

  • (0\(\hat{\imath}\) + 10\(\hat{\jmath}\)) \(m/s\)

  • (0\(\hat{\imath}\) - 6\(\hat{\jmath}\)) \(m/s\)

  • (3\(\hat{\imath}\) + 10\(\hat{\jmath}\)) \(m/s\)

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.