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  1. Example: If the acceleration of a particle is a function of time and the initial velocity is zero, the velocity-time graph will be a curve. The slope of the velocity-time graph at any instant (at a certain time) will give the acceleration at that time.

    • Constant Velocity Versus Changing Velocity
    • The Importance of Slope
    • Positive Velocity Versus Negative Velocity
    • Speeding Up Versus Slowing Down
    • Check Your Understanding

    Consider a car moving with a constant, rightward (+) velocity - say of +10 m/s. As learned in an earlier lesson, a car moving with a constant velocity is a car with zero acceleration. If the velocity-time data for such a car were graphed, then the resulting graph would look like the graph at the right. Note that a motion described as a constant, po...

    The shapes of the velocity vs. time graphs for these two basic types of motion - constant velocity motion and accelerated motion (i.e., changing velocity) - reveal an important principle. The principle is that the slope of the line on a velocity-time graph reveals useful information about the acceleration of the object. If the acceleration is zero,...

    The answers to these questions hinge on one's ability to read a graph. Since the graph is a velocity-time graph, the velocity would be positive whenever the line lies in the positive region (above the x-axis) of the graph. Similarly, the velocity would be negative whenever the line lies in the negative region (below the x-axis) of the graph. As lea...

    Now how can one tell if the object is speeding up or slowing down? Speeding up means that the magnitude (or numerical value) of the velocity is getting large. For instance, an object with a velocity changing from +3 m/s to + 9 m/s is speeding up. Similarly, an object with a velocity changing from -3 m/s to -9 m/s is also speeding up. In each case, ...

    1. Consider the graph at the right. The object whose motion is represented by this graph is ... (include all that are true): 1. moving in the positive direction. 2. moving with a constant velocity. 3. moving with a negative velocity. 4. slowing down. 5. changing directions. 6. speeding up. 7. moving with a positive acceleration. 8. moving with a co...

  2. Velocity-time graphs show how the velocity (or speed) of a moving object changes with time. These graphs also show if the object is moving at a constant speed or accelerating,...

  3. 1. Understanding Velocity-Time Graphs: In a velocity-time graph, the slope of the graph represents the acceleration of the object. The area under the graph represents the displacement (or total distance traveled) over a given time interval. A straight line indicates constant velocity or acceleration, while a curved line shows changing ...

  4. Mar 31, 2022 · The velocity vs time graph (in the middle) shows you how quickly something is moving, again relative to an observer. Finally, the acceleration vs time graph (on the right) shows how quickly something is speeding up or slowing down, relative to an observer.

  5. stickmanphysics.com › physics-motion-graphsPhysics Motion Graphs

    A curved line represents an acceleration or deceleration (See the examples below) PT Graph at Rest. A flat line (no slope) on a position time graph. Think of a number line on the ground as seen in the video. The person starts at the 12m position and stays there the whole time. graphs pt rest 1. PT Graph Constant Forward Velocity.

  6. Thus the shape of the line on the graph (horizontal, sloped, steeply sloped, mildly sloped, etc.) is descriptive of the object's motion. In this part of the lesson, we will examine how the actual slope value of any straight line on a velocity-time graph is the acceleration of the object.

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