A rocket on a launching pad is moving at 6 m/s. An observer in a car moving at 10 m/s sees the rocket moving vertically at approximately what speed?

Step 1: Identify the given velocities and define the coordinate system. Let the horizontal direction be the x-axis and the vertical direction be the y-axis. The car is moving horizontally towards the launching pad. The speed of the car relative to the ground is $v_{C/G} = 6 \text{ m/s}$. We can represent its velocity vector as $\vec{v}_{C/G} = (6, 0) \text{ m/s}$.

The speed of the rocket as seen by a stationary observer (relative to the ground) is $v_{R/G} = 10 \text{ m/s}$. This is the magnitude of the rocket's velocity vector. Let the velocity vector of the rocket relative to