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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.
The Slope (which represents acceleration) of a constant velocity graph is Zero.
The Average Velocity on a position time graph or a velocity time graph.
Assuming position is measured between the cars and not their starting points?With constant speed the Distance over time graph would have a 1:1 slope or 45 degree angle.While the Velocity (which is constant) over time would be be a horizontal flat line.
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.
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.
Position-Time GraphYou can graph motion on a position vs time graph. On a position vs time graph, position is on the y-axis and time is on the x-axis. If the velocity is constant, the graph will be a straight line and the slope is average velocity. If the motion is accelerating, the graph will be a curved line.Velocity-Time GraphYou can also graph motion on a Velocity-Time graph. On a velocity vs time graph, velocity is on the y-axis, time is on the x-axis. If the graph is a straight line, velocity is constant and the slope is average acceleration. Also, on a velocity vs time graph, the area under the line is displacement.Refer to the related link for illustrations of the different graphs of motion and their meanings.
yes
The Slope (which represents acceleration) of a constant velocity graph is Zero.
If an x-t graph is a position-time graph, velocity is the slope of the line on the graph.
A straight line with a constant slope. But the reverse is not true. A straight line with a constant slope only means constant speed in the radial direction. The velocity may have components at right angles to the radial direction that are changing.
The Average Velocity on a position time graph or a velocity time graph.
The velocity position time graph is rightward. This can change at anytime.
If acceleration is negative the graph looks like a upside U and decreases in value as time continues If acceleration is constant the graph is a straight line (linear) at 0 or whatever the velocity is
The graph is linear.
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.
If constant motion means constant velocity then, total distance / total time = avg velocity => avg speed constant velocity => avg velocity = velocity