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 .