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12. the graph represents the motion of a car traveling horizontally alo…

Question

  1. the graph represents the motion of a car traveling horizontally along a straight road in the positive direction. position - time graph which best describes the magnitude of the velocity for the car? clear all increasing constant none of these decreasing

Explanation:

Step1: Recall velocity - position - time relation

Velocity $v=\frac{\Delta x}{\Delta t}$, where $\Delta x$ is change in position and $\Delta t$ is change in time.

Step2: Analyze the position - time graph

The position - time graph is a straight line. For a straight - line position - time graph, the slope $\frac{\Delta x}{\Delta t}$ is constant.

Step3: Determine the velocity

Since the slope of the position - time graph (which is equal to velocity) is constant, the magnitude of the velocity is constant.

Answer:

constant