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When an object moves in a straight line with constant acceleration, the equation describing its position (s) in terms of time (t) is a quadratic function like s = a t2 + b t + c, where a, b, and c are constants. The graph of such an equation is a parabola. However, if u plot velocity against time, the function is linear, and the graph is a straight line.

Q: How is constant acceleration represented on a velocity time graph?

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It could be a velocity graph or an acceleration graph. If the plot is a straight line it is constant velocity. If the plot is a curve it is acceleration.

A period of constant positive acceleration;a second period of zero acceleration; a third period of constant negative acceleration.

The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)

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

The slope (technically, the slope of the tangent at each point) of a distance-time graph gives the instantaneous velocity. Therefore, if the graph has a constant slope - i.e. it is a straight line - then that indicates a constant velocity (zero acceleration).

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No, a horizontal line on a velocity vs. time graph indicates a constant velocity, not acceleration. An acceleration would be represented by a non-zero slope on a velocity vs. time graph.

Acceleration is represented on a graph by the slope of the velocity-time graph. A positive slope indicates acceleration in the positive direction, while a negative slope indicates acceleration in the negative direction. A horizontal line on the graph represents constant velocity, with zero acceleration.

False. A horizontal line on a velocity vs. time graph indicates constant velocity, not constant acceleration. Positive acceleration would be represented by a diagonal line sloping upwards on a velocity vs. time graph.

a horizontal line

Yes, you can have a situation where an object has a non-zero velocity but zero acceleration. This occurs when the object is moving at a constant speed in a straight line. On a velocity-time graph, this would be represented by a horizontal line at a non-zero velocity value and a flat line at zero acceleration.

The acceleration vs. time graph for something moving at a constant positive velocity will be a horizontal line at zero acceleration. This is because acceleration is the rate of change of velocity, and if the velocity is not changing (constant), then the acceleration is zero.

It is radial the velocity in a direction towards or away from a fixed point of reference (the origin) at a given time. The velocity time graph takes no account of motion in a direction across the radial direction.

A constant acceleration on a velocity-time graph would appear as a straight line with a non-zero slope. The slope of the line represents the acceleration, with a steeper slope indicating a greater acceleration.

The graph of acceleration vs time for something going at a constant positive velocity would be a horizontal line at zero on the acceleration axis. This is because there is no change in velocity, so the acceleration is constant and equal to zero.

Any curved line will indicate a change in acceleration. Straight lines with slope indicate a steady velocity and straight lines with zero slope indicate a lack of motion.If the X axis (left to right) is for time and the Y axis (up and down) is for speed, it would curve up.

No, the slope on a position-time graph represents the object's velocity, not acceleration. Acceleration would be represented by the slope of the velocity-time graph.

Speed is represented by the slope of a distance-time graph, where steeper slopes indicate faster speed. Acceleration is represented by the slope of a speed-time graph, where a steeper slope indicates a greater acceleration.