4. The position of a crate sliding down a ramp is given by $x = (0.25t^3)$ m, $y = (1.5t^2)$ m, and $z = (6 - 0.75t^2)$, where $t$ is in seconds. Determine the magnitude of the crate's velocity and acceleration when $t=5.0$ s.
5. It is observed that the time for the ball to strike the ground at B is 2.5 s. Determine the speed $V_A$ and angle $\theta_A$ at which the ball was thrown.