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Acceleration is the derivative of velocity (a=dv/dt). If you are not familiar with calculus then it would be sufficient to say that the slope of the line tangent to the graph, only touches at one point, is equal to the instantaneous acceleration.

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Instantaneous acceleration at any point on a velocity-time graph can be determined by calculating the slope of the tangent line at that specific point. A steeper slope represents a higher acceleration, while a shallower slope indicates a lower acceleration.

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Q: How is instantaneous acceleration related to a velocity-time graph?
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What does the slope of the instantaneous speed-vs-time graph represented?

The slope of the instantaneous speed-vs-time graph represents the acceleration of the object. A positive slope indicates the object is accelerating in the positive direction, while a negative slope indicates acceleration in the negative direction. The steeper the slope, the greater the magnitude of the acceleration.


What does a tangent to a velocity-time graph measure?

A tangent to a velocity-time graph represents the instantaneous acceleration of an object at that specific moment in time. It shows how the velocity is changing at that particular point.


How can you use the graph of velocity versus time to estimate the acceleration of the ball?

The acceleration of the ball can be estimated by calculating the slope of the velocity versus time graph. If the graph is a straight line, the slope represents the acceleration. The steeper the slope, the greater the acceleration. If the graph is curved, the instantaneous acceleration can be estimated by finding the slope of the tangent line at a specific point on the curve.


The slope of a speed vs time graph is equal to what?

Acceleration.


What is the importance of uniform acceleration graph in physics what is instantaneous velocity?

Uniform acceleration graphs help visualize how an object's velocity changes over time. They show a constant rate of change in velocity, which can be used to calculate properties like displacement and time. Instantaneous velocity is the velocity of an object at a specific moment in time, representing the object's speed and direction at a given instant.