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Q: What values can you find by calculating the slope of a graph of velocity versus time?
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What line segments on a velocity versus time graph is physically impossible?

A vertical line on a velocity vs time graph is physically impossible.


Is acceleration the slope of the velocitys vs the time graph?

Yes, acceleration is the slope of a velocity versus time graph.


Will the graph of instantaneous velocity versus time have a Y-axis intercept of zero?

If you started at zero velocity, yes.


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.


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 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


How can you use the graph of velocity versus time to estimate the acceleration of the ball?

If the graph is a straight line, then the slope of the line is the average acceleration of the ball.


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.


How do you go from a position graph to a velocity graph?

you can't....it's merely impossible! Assuming it is a graph of velocity vs time, it's not impossible, it's simple. Average velocity is total distance divided by total time. The total time is the difference between finish and start times, and the distance is the area under the graph between the graph and the time axis.


How do you develop the general velocity equation from a Velocity vs Time graph?

Derivitives of a velocity : time graph are acceleration and distance travelled. Acceleration = velocity change / time ( slope of the graph ) a = (v - u) / t Distance travelled = average velocity between two time values * time (area under the graph) s = ((v - u) / 2) * t