?Finding Velocity and Acceleration Along a Plane Curve In Exercises 1-8,the position vector describes the path of an object moving in the xy-plane.

Chapter 12, Problem 2

(choose chapter or problem)

Finding Velocity and Acceleration Along a Plane Curve In Exercises 1-8,the position vector describes the path of an object moving in the xy-plane.

(a) Find the velocity vector,speed,and acceleration vector of the object.

(b) Evaluate the velocity vector and acceleration vector of the object at the given point.

(c) Sketch a graph of the path,and sketch the velocity and acceleration vectors at the given point.

Position Vector                                                              Point

\(\mathbf{r}(t)=t \mathbf{i}+\left(-t^{2}+4\right) \mathbf{j}\)                 (1, 3)

Text Transcription:

r(t)=t i + (-t^2+4)

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