Vehicle Velocity#
A car’s position as a function of time is given by \(\vec{r} =\) (1\(t^2 -\) 3\(t)\hat{\imath} + (\) 7\(t^{-1}+\) 2 \(t^3)\hat{\jmath}\) where \(\vec{r}\) is in meters and \(t\) is in seconds.
Part 1#
What is the car’s velocity at \(t=\) 1 \(s\)?
Answer Section#
(-1\(\hat{\imath}\) - 1\(\hat{\jmath}\)) \(m/s\)
(-1\(\hat{\imath}\) + 6\(\hat{\jmath}\)) \(m/s\)
(-2\(\hat{\imath}\) + 9\(\hat{\jmath}\)) \(m/s\)
(-2\(\hat{\imath}\) - 1\(\hat{\jmath}\)) \(m/s\)
(-1\(\hat{\imath}\) + 9\(\hat{\jmath}\)) \(m/s\)
Attribution#
Problem is licensed under the CC-BY-NC-SA 4.0 license.
