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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?
Not necessarily. The graph of instantaneous velocity versus time may or may not have a Y-axis intercept of zero. It depends on the initial conditions and motion of the object. If the object starts from rest, then the initial velocity is zero, and the graph will have a Y-axis intercept at zero.
What figure could represent the velocity versus time graph of a motorcycle whose speed is increasing?
A straight line with a positive slope could represent the velocity versus time graph of a motorcycle whose speed is increasing.
Does the slope of a speed-versus-time graph represents acceleration?
No, the slope of a speed-versus-time graph represents the rate of change of speed, not acceleration. Acceleration is represented by the slope of a velocity-versus-time graph.
What line segments on a velocity versus time graph is physically impossible?
A vertical line segment on a velocity versus time graph represents an instantaneous change in velocity, which is physically impossible. It would mean that an object goes from one velocity to another instantly, without any acceleration. In reality, objects need time to change their velocity due to the presence of acceleration or deceleration.
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.
Is velocity the slope of the displacement vs time graph true or false?
True. Velocity is the rate of change of displacement with respect to time, which is represented by the slope of the displacement versus time graph.
What does the slope of distance versus time graph represent physically?
The slope of a distance versus time graph represents the speed or velocity of an object. A steeper slope indicates a higher speed, while a gentler slope indicates a slower speed. If the slope is negative, it means the object is moving in the opposite direction.
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.
