What graph of acceleration vs time constant velocity?

Answer 1

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.

Answer 2

The graph of acceleration vs. time would be a straight line at zero acceleration for constant velocity. This is because constant velocity means there is no change in velocity over time, so the acceleration is zero.

Answer 3

-- "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 ].

Answer 4

A horizontal line at zero (since the acceleration must be zero for the velocity to be constant).

Answer 5

A horizontal line.

Answer 6

a horizontal line