-- Pick two points on the graph.
-- Find the difference in time between the two points.
-- Find the difference in displacement between the same two points.
-- (Difference in displacement) divided by (difference in time) is the average Speed .
You can't tell anything about velocity from the graph except its magnitude, because
the graph displays no information regarding the direction of motion.
Displacement is the area under the v-t graph.
As, in the velocity-time graph, curves passes through zero means 'when time is zero velocity is zero'. Velocity is time derivative of displacement. So displacement is maximum or minimum when time is zero in position-time graph.
The answer depends on what variables the graph shows.
It is the average velocity.
If the Object is falling at a constant velocity the shape of the graph would be linear. If the object is falling at a changing velocity (Accelerating) the shape of the graph would be exponential- "J' Shape.
To obtain average velocity from a displacement-time graph, divide the total displacement by the total time taken. For instantaneous velocity, find the slope of the tangent to the curve at a specific point on the graph. This tangent represents the velocity at that instant.
You cannot because a dispacement-time graph is concerned only with motion in a radial direction; any motion in a transverse direction is completely ignored. For example, an object circling the origin at a fixed distance, even with a variable speed, is always at the same distance from the origin. So the displacement-time graph will be a straight line whose height is the radial distance. A straight line in the distance-time graph is to be interpreted as no motion! Really?!The average velocity in the radial direction is the final displacement minus the starting [initial] displacement, all divided by the difference in time between the two points. The instantaneous velocity in the radial direction is the slope [gradient] of the graph at the point in question.
Displacement divided by time gives you the average velocity of an object. Velocity is a vector quantity that includes both the speed of an object and its direction of motion.
You cannot because a displacement-time graph is concerned only with radial motion: displacement from a fixed point of reference. Any transverse motion is completely ignored. Thus, if you had a body going around in a circle about the point of reference, its speed would be recorded zero!
In a displacement-time graph, the gradient represents velocity. In a velocity-time graph, the gradient represents acceleration.
No, displacement is the area under the velocity vs. time graph. The slope of a velocity vs. time graph represents acceleration.
Displacement is the area under the v-t graph.
Yes, a steep slope on a displacement vs time graph indicates a large velocity. The slope of a displacement vs time graph represents the velocity of an object because velocity is the rate of change of displacement with respect to time. A steep slope implies that the displacement is changing rapidly over time, resulting in a large velocity.
No, average velocity is the total displacement divided by the total time taken. The slope of the tangent to the curve on a velocity-time graph at a specific instant of time gives the instantaneous velocity at that moment, not the average velocity.
The displacement of an object from a velocity-time graph can be determined by finding the area under the velocity-time graph. For example, the displacement over a certain time interval can be calculated by finding the area of the corresponding region under the velocity-time graph. This can be done by calculating the area of the trapezoid or rectangle formed by the graph.
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.
To calculate displacement from a displacement graph, find the area under the curve. If the graph is a straight line, you can subtract the initial position from the final position. If the graph is not a straight line, calculate the integral of the graph to determine the total displacement.