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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.
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What is a graph with time plotted on the x axis and distance plotted on the y axis called?
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.
What type of acceleration does a trapezium on a velocity time graph represents?
A period of constant positive acceleration;a second period of zero acceleration; a third period of constant negative acceleration.
What does the slope of a curve represent on a velocity-versus-time graph represent?
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.)
What does a curved line on a distance versus time graph tell you?
It tells you that the velocity of the body is not constant. There is acceleration or deceleration.
What type speed is represented by a constant slope on a distance time graph?
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).
