Final answer:
The velocity vector at t = 1.0 s is 4.0î + 3.0ĵ + 5.0k m/s.
Step-by-step explanation:
The velocity vector of a particle can be calculated using the position function of the particle. In this case, the position function is given as ř(t) = 2.0t²î + (2.0 + 3.0t)ĵ + 5.0tkm.
To determine the velocity vector at t = 1.0 s, we need to find the derivative of the position function with respect to time, which gives us the velocity vector. Taking the derivative of ř(t) gives us the velocity vector V(t) = 4.0tî + 3.0ĵ + 5.0k m/s. Substituting t = 1.0 s into this equation, we find V(1.0 s) = 4.0î + 3.0ĵ + 5.0k m/s.