What does the slope of a velocity-versus-time graph represent?

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Multiple Choice

What does the slope of a velocity-versus-time graph represent?

Explanation:
Acceleration is the rate at which velocity changes with time. On a velocity-versus-time graph, velocity is on the vertical axis and time is on the horizontal axis, so the slope of the line tells you how fast velocity is changing per unit time. That slope is acceleration, with units of m/s^2. A positive slope means velocity is increasing, so acceleration is in the positive direction; a negative slope means velocity is decreasing, so acceleration is negative. If the line is horizontal, the slope is zero and so the acceleration is zero. Remember, the area under the velocity-time graph gives displacement, not the slope.

Acceleration is the rate at which velocity changes with time. On a velocity-versus-time graph, velocity is on the vertical axis and time is on the horizontal axis, so the slope of the line tells you how fast velocity is changing per unit time. That slope is acceleration, with units of m/s^2. A positive slope means velocity is increasing, so acceleration is in the positive direction; a negative slope means velocity is decreasing, so acceleration is negative. If the line is horizontal, the slope is zero and so the acceleration is zero. Remember, the area under the velocity-time graph gives displacement, not the slope.

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