2D Motion
Problems for Position, Velocity, and Acceleration as Vectors
Problem : Find the derivative of the vector-valued function,
Problem : The motion of a creature in three dimensions can be described by the following equations for position in the x -, y -, and z -directions.
| x(t) | = | 3t 2 + 5 | |
| y(t) | = | - t 2 + 3t - 2 | |
| z(t) | = | 2t + 1 |
Find the magnitudes** of the acceleration, velocity, and position vectors at times t = 0 , t = 2 , and t = - 2 .
= 2




