When the acceleration of a particle is constant, the velocity will be increasing at a constant rate. This means that the velocity versus time graph will appear with a straight line "slanting up to the right" in the first quadrant. With time on the x-axis and velocity of the y-axis, as time increases, velocity will increase. That means the line will have a positive slope. The higher the (constant) acceleration, the greater the slope of the line. If we take just one example and mark equal units off on our axes, and then assign seconds along the x-axis and meters per second along the y-axis, we can plot a graph for an acceleration of, say, one meter per second per second. Start at (0,0) and at the end of one second, the velocity will be one m/sec. That point will be (1,1). After another second, the velocity will be 2 m/sec owing to that 1m/sec2 rate of acceleration, and that point will be (2,2). The slope of the line is 1, which is the rate of acceleration.
-- "Acceleratioin" is the time rate of change of velocity.
-- So "constant velocity" means zero acceleration.
-- So the graph of acceleration is a straight flat horizontal line that coincides with the x-axis.
The equation of the line is [ y = 0 ].
Or [ a = 0 ].
A horizontal line at zero (since the acceleration must be zero for the velocity to be constant).
A horizontal line.
a horizontal line
Ahorizontal line on a velocity vs time graph does not indicate any acceleration because there is no slope. Speed remains constant.
The graph of acceleration vs time for an object moving at constant velocity is a straight horizontal line that coincides with the x-axis, i.e. it's the line [ y = 0 ].
The slope of a velocity-time graph that shows uniform acceleration is the actual acceleration. Instantaneous velocity is the velocity of a body at a particular moment in time.
It will measure acceleration in the direction towards or away from the origin.
A position time graph can show you velocity. As time changes, so does position, and the velocity of the object can be determined. For a speed time graph, you can derive acceleration. As time changes, so does velocity, and the acceleration of the object can be determined.If you are plotting velocity (speed) versus time, the slope is the acceleration.
Ahorizontal line on a velocity vs time graph does not indicate any acceleration because there is no slope. Speed remains constant.
Velocity is NOT the slope of the acceleration vs. time graph. Velocity is the area under the acceleration vs. time graph. Velocity is the slope of a position vs. time graph, though. For you Calculus Junkies, v = the integral of acceleration with respect to time.
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.
If the constant acceleration is positive, the graph would be an exponential (x2) graph. If there is constant acceleration, then velocity is always increasing, making the position change at an ever increasing rate.
Your acceleration vs. Time graph is the slope of your velocity vs. time graph
false
false
a horizontal line
a horizontal line
The graph of acceleration vs time for an object moving at constant velocity is a straight horizontal line that coincides with the x-axis, i.e. it's the line [ y = 0 ].
If your graph shows velocity on the vertical axis and time on the horizontal axis, then the slope of the graph represents the acceleration. More specifically, the slope of the graph at a specific point represents the acceleration at that instantaneous point in time. So if the slope of the graph doesn't change (i.e. the graph is a straight line), then the acceleration is constant and doesn't change over time. In calculus, this is represented as the derivative: The derivative of velocity with respect to time equals the acceleration.