Question

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analyze: 1. what shape does the velocity versus time graph have? describe the line or curve that you get. what does the slope mean?

Explanation:

Step1: Recall physics - velocity - time graph concept

In a velocity - time graph, the shape of the graph gives information about the motion. If the object has a constant acceleration, the graph is a straight - line. If the acceleration is changing, the graph is a curve.

Step2: Recall the meaning of slope in velocity - time graph

The slope of a velocity - time graph represents the acceleration of the object. Mathematically, if \(v\) is velocity and \(t\) is time, the slope \(m=\frac{\Delta v}{\Delta t}\), and acceleration \(a = \frac{\Delta v}{\Delta t}\).

Answer:

The shape of the velocity - versus time graph can be a straight line (for constant acceleration) or a curve (for non - constant acceleration). The slope of the velocity - versus time graph represents the acceleration of the object.