Moderate

The slope of the curve in the given velocity-time graph represents

Correct answer: D. Instantaneous velocity.

  • A. Uniform velocity.
  • B. Positive acceleration.
  • C. Negative acceleration.
  • D. Instantaneous velocity.

Explanation

The slope of a velocity-time graph represents acceleration. If the slope is positive, it indicates positive acceleration, and if it is negative, it indicates negative acceleration. Uniform velocity would be shown by a horizontal line (zero slope), indicating no change in velocity over time. Instantaneous velocity, on the other hand, is the velocity at a specific point in time, not represented by the slope of the graph. Therefore, the correct answer is that the slope of the curve represents acceleration, not instantaneous velocity.

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About Acceleration

Acceleration measures the rate at which velocity changes with time, including changes in speed, direction or both. Work includes average and instantaneous acceleration, the relation a = Δv/Δt, uniform acceleration equations, and interpreting velocity time and displacement time graphs, with acceleration carefully distinguished from velocity.

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