Section 13.4 – Motion in Space: Velocity and Acceleration
Exercises
Directions: You should try to solve each problem first, and then click "Reveal Answer" to check your answer. You can click "Watch Video" if you need help with a problem.
1. The velocity of an object is given by \(\mathbf{v}(t) = \left< 4t\ln t, \cos(2t-2) , 4t^3 \right>\). Find the position \(\mathbf{r}(t)\) if \(\mathbf{r}(1)= \left< 1,-3,0 \right>.\)
\(\mathbf{r}(t) = \left< 2t^2\ln t - t^2+2, \dfrac{1}{2}\sin(2t-2)-3,t^4-1 \right>\)