Vector motion
A particle has r(t)=<t^2, 3t, 4-t> meters. Velocity is r'(t)=<2t,3,-1>.
- Differentiate componentwise.
- Speed is magnitude of velocity.
- Evaluate at t=2.
parametric, polar, and vector representations
A particle has r(t)=<t^2, 3t, 4-t> meters. Velocity is r'(t)=<2t,3,-1>.
Pause. Find what matters. Then make your move.