Subjects physics

Acceleration Gradient 80Ee4F

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1. The problem asks if acceleration is calculated from a velocity-time graph by finding the gradient of the line. 2. The formula for acceleration $a$ when velocity $v$ changes over time $t$ is: $$a = \frac{\Delta v}{\Delta t}$$ This means acceleration is the rate of change of velocity with respect to time. 3. On a velocity-time graph, the gradient (slope) of the line represents how velocity changes over time. 4. Therefore, the gradient of the velocity-time graph is exactly the acceleration. 5. If the graph is a straight line, the acceleration is constant and equal to the slope of that line. 6. If the graph is curved, the acceleration at any point is the gradient of the tangent line at that point. 7. In summary, yes, acceleration is calculated by finding the gradient of the velocity-time graph.