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Q: What does a curved line represent on a time vs distance graph?

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When there is a curved line going upwards on a graph it means the distance is increasing

-- If the distance-time graph is a straight line, then the magnitude of acceleration is zero. -- If the magnitude of acceleration is not zero, then the distance-time graph is curved.

Any curved line on a distance/time graph indicates the presence of accelerationthat's causing a change in the magnituide of the velocity. But if the object's speedis constant, and the acceleration is changing its direction only, then the line on theD-T graph would remain straight.In summary:Every curved line on a D-T graph reveals acceleration, but not every accelerationproduces a curved line on a D-T graph.

instantaneous acceleration* * * * *No it does not.The graph is a distance-time graph so the coordinates of a point on the graph represent the position (distance) at the specified time. The gradient of the tangent to the curve at that point represents the instantaneous radial velocity. The second derivative at that point, if it exists, would represent the acceleration.

The object is accelerating or decelerating in the radial direction.

The slope of a line or a distance-vs-time graph will represent the speed of the object.

constant speed

nonlinear line

The object is accelerating or decelerating in the radial direction.

A curved line represents changing speed - either acceleration or deceleration - while a straight line indicates that the speed is constant.

it is a line on a graph that is curved

It tells you that the velocity of the body is not constant. There is acceleration or deceleration.

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