Find the velocity, acceleration, and speed of an object with position function $\mathbf { r } ( t ) = 3 t \mathbf { i } + \left( 6 - t ^ { 2 } \right) \mathbf { j }$ for $t = 1$ Sketch the path of the object and its velocity and acceleration vectors.

Question

Quizplus · Accepted Answer

The Answer is

\begin{array} { l } \mathbf { v } ( 1 ) = 3 \mathbf { i } - 2 \mathbf { j } , \mathbf { a } ( 1 ) = - 2 \mathbf { j } \| \mathbf { v } ( 1 ) | = \sqrt { 13 }\end{array}

$\begin{array} { l } \mathbf { v } ( 1 ) = 3 \mathbf { i } - 2 \mathbf { j } , \mathbf { a } ( 1 ) = - 2 \mathbf { j } \ | \mathbf { v } ( 1 ) | = \sqrt { 13 } \end{array}$

Find the Velocity, Acceleration, and Speed of an Object with Position