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Question
16 multiple choice 1 point here are two position vs time graph... what does graph a represent? practice a practice b position position time time constant speed speed decreasing speed increasing stopped vehicle
Step1: Recall the relationship between position - time graph and speed
The slope of a position - time graph gives the speed. The formula for the slope \(m=\frac{\Delta x}{\Delta t}\), where \(\Delta x\) is the change in position and \(\Delta t\) is the change in time.
Step2: Analyze the slope of graph A
For graph A, as time \(t\) increases, the slope of the position - time graph (which is \(\frac{\Delta x}{\Delta t}\)) is increasing. Since the slope of a position - time graph represents speed, an increasing slope means an increasing speed.
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Speed increasing