Vehicle Velocity

A car’s position as a function of time is given by \(\vec{r} =\) (3\(t^2 -\) 2\(t)\hat{\imath} + (\) 10\(t^{-1}+\) 1 \(t^3)\hat{\jmath}\) where \(\vec{r}\) is in meters and \(t\) is in seconds.

Part 1

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

Answer Section

• (10\(\hat{\imath}\) + 19/2\(\hat{\jmath}\)) \(m/s\)

• (10\(\hat{\imath}\) + 12\(\hat{\jmath}\)) \(m/s\)

• (8\(\hat{\imath}\) + 13\(\hat{\jmath}\)) \(m/s\)

• (8\(\hat{\imath}\) + 19/2\(\hat{\jmath}\)) \(m/s\)

• (10\(\hat{\imath}\) + 13\(\hat{\jmath}\)) \(m/s\)

Attribution

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