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A bicycle is moving to the left with increasing speed. Which of the following motino diagrams illustrates this motion?

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Final Answer:

The motion diagram that illustrates a bicycle moving to the left with increasing speed is Diagram B.

Step-by-step explanation:

In Diagram B the successive positions of the bicycle are spaced farther apart to the left indicating an increase in speed. The arrows connecting the positions also point to the left signifying the direction of motion. This pattern aligns with the concept of velocity where greater distance between positions over equal time intervals corresponds to an increase in speed.

The distance covered by the bicycle in each successive time interval is greater in Diagram B compared to the other options. This observation is consistent with the motion of an object experiencing acceleration as the positions become more dispersed with time. Mathematically acceleration (a) is defined as the rate of change of velocity with respect to time
(a = Δv/Δt). In this case the increasing distance between positions implies a positive acceleration reflecting the leftward motion with an accelerating speed.

Furthermore the uniform direction of the arrows in Diagram B indicates a consistent leftward acceleration reinforcing the interpretation of increasing speed. The overall pattern in Diagram B aligns with the physics of leftward acceleration making it the suitable choice to represent a bicycle moving to the left with increasing speed.

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