Answer
$\Delta$The velocities of the two carts will never be the same at any given moment due to their different initial velocity magnitudes and the fact that their velocities change over time. The red cart's velocity is increasing, while the blue cart's velocity is decreasing. In terms of displacement, the rate of change of separation between the red carts is increasing, while the rate of change of separation between the blue carts decreases as time progresses. This disparity in velocities is a result of the initial conditions and the acceleration each cart experiences.
Work Step by Step
- $Vr$ \ne $Vb$ intially
-For t \gt 0, $Vr$ is increasing while $Vb$ is decreasing
