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Question
having problems staying logged in or are you experiencing issues? please visit our troubleshooting s solutions. the motion of a rightward - moving object is represented by a position - time graph (consider the positive direction to be to the right.) is this a speeding up, slowing down, or constant speed motion? speeding up slowing down constant speed is the object experiencing balanced or unbalanced forces? balanced unbalanced
Step1: Analyze the slope of the position - time graph
The slope of a position - time graph represents velocity. As time increases, the slope of the given graph is increasing.
$$\text{Slope}=\frac{\Delta x}{\Delta t}$$
Since the slope (velocity) is increasing, the object is speeding up.
Step2: Determine the force condition
According to Newton's second law \(F = ma\). If an object is accelerating (speeding up in this case, as acceleration \(a=\frac{\Delta v}{\Delta t}> 0\)), then \(F
eq0\). Unbalanced forces cause acceleration.
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Speeding Up, Unbalanced