Question

Given that the acceleration vector is ____, the initial velocity is ____, and the initial position vector is ____, compute:

a. the velocity vector
b. the position vector

Answer 1

To compute the velocity vector, take the derivative of the position vector. To find the position vector, integrate the velocity vector.

Step-by-step explanation:

To compute the velocity vector, we can take the derivative of the position vector with respect to time. In this case, the position vector is given as ř(t) = (3.0t²î + 5.0ĵ – 6.0tk) m, so taking the derivative we get the velocity vector as V(t) = (6.0tî + 5.0ĵ – 6.0k) m/s.

To find the position vector, we can integrate the velocity vector with respect to time. Using the given initial conditions, we can find the position vector by integrating the velocity vector. However, the equation for the initial conditions is not provided in the question, so we cannot provide the specific position vector without that information.