Final answer:
The slope of ramps not serving an egress door requires more context to accurately define in Physics. Discussion implies the topic is related to the motion of objects on a ramp, involving kinematic principles to determine velocities. Without detailed information on initial conditions and ramp specifications, an accurate assessment cannot be made.
Step-by-step explanation:
The slope of other ramps not serving an egress door is not a standard engineering specification without additional context. However, the discussion related to a freeway on-ramp with a 10.0 s time for the solution suggests the context might involve physics principles related to motion. Yet, the provided information is insubstantial to determine a specific slope or discuss velocities without more detailed physical parameters or context about the ramps. In physics, understanding the slope would typically imply discussing the incline angle or the rise over run of the ramp, which affects the acceleration and velocity of objects moving along the ramp.
When it comes to relative velocities, if we are considering the instant a cart leaves the ramp, we'd apply principles of kinematics to find the velocities. Assuming an ideal scenario without any external forces except gravity acting on the cart, and provided with initial conditions and acceleration, one could use kinematic equations to determine the final velocity of the cart relative to the ground.