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What does the slope of a distance versus time represent?
velocity
What does the slope of distance-versus-time graph represent physically?
instantaneous magnitude of velocity
What does the slope of they curve on a velocity-versus-time graph represent?
The rate of change in accelleration.
Area under the velocity versus time graph?
Area under velocity versus time graph(between two given instances of time i.e. two points on time axis) gives the displacement of the body( whose graph was plotted) between those two instances i.e. in that time interval. Area under velocity time graph can be found from definite integration if the graph is a curve. Note: Area under velocity versus time graph gives displacement not distance covered by body. Note: Area enclosed between the plotted curve and time axis is taken. For convenience time should be taken in the x-axis.
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 does the slope of a distance versus time represent?
velocity
What type of motion is occurring when the slope of a line is not zero?
Assuming the graph is for displacement versus time, the motion should be constant velocity. If velocity versus time motion is constant acceleration
Will the graph of instantaneous velocity versus time have a Y-axis intercept of zero?
If you started at zero velocity, yes.
What line segments on a velocity versus time graph is physically impossible?
A vertical line on a velocity vs time graph is physically impossible.
What does the slope of distance-versus-time graph represent physically?
instantaneous magnitude of velocity
What does the slope of they curve on a velocity-versus-time graph represent?
The rate of change in accelleration.
Is acceleration the slope of the velocitys vs the time graph?
Yes, acceleration is the slope of a velocity versus time graph.
What does the slope of distance versus time graph represent physically?
Tangent of the slope at any point = velocity
Area under the velocity versus time graph?
Area under velocity versus time graph(between two given instances of time i.e. two points on time axis) gives the displacement of the body( whose graph was plotted) between those two instances i.e. in that time interval. Area under velocity time graph can be found from definite integration if the graph is a curve. Note: Area under velocity versus time graph gives displacement not distance covered by body. Note: Area enclosed between the plotted curve and time axis is taken. For convenience time should be taken in the x-axis.
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 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 information can be learned from a position-time graph and from a speed-time graph?
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.
