Vehicle Velocity

A bus’s position as a function of time is given by \(\vec{r} =\) (1\(t^2 -\) 2\(t)\hat{\imath} + (\) 9\(t^{-1}+\) 2 \(t^3)\hat{\jmath}\) where \(\vec{r}\) is in meters and \(t\) is in seconds.

Part 1

What is the bus’s velocity at \(t=\) 2 \(s\)?

Answer Section

• (2\(\hat{\imath}\) + 87/4\(\hat{\jmath}\)) \(m/s\)

• (2\(\hat{\imath}\) + 24\(\hat{\jmath}\)) \(m/s\)

• (0\(\hat{\imath}\) + 41/2\(\hat{\jmath}\)) \(m/s\)

• (0\(\hat{\imath}\) + 87/4\(\hat{\jmath}\)) \(m/s\)

• (2\(\hat{\imath}\) + 41/2\(\hat{\jmath}\)) \(m/s\)

Attribution

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