If you're graphing velocity vs. time, you're denoting what velocity you're moving at various points in time.
The slope of the line at any given point is your acceleration at that time.
The area beneath the graph would be the total distance traveled.
For example, if you were traveling at 50mph for one hour, the graph would be a straight line parallel to the x axis. The area will be 1 hour * 50 miles per hour = 50 miles.
By the way, if you can get this concept down, you've figured out the basic ideas of differential and integral calculus! The slope of the graph is the differential, and the area under the curve is the integral.
The quantity measured by the area occupied below a velocity-time graph is displacement. For example, the area of a rectangular shape would be determined by multiplying velocity (m/s) times time (s), which would cancel time and leave meters. The area of a triangular shape would be determined by multiplying velocity (m/s) times time (s) then divide by 2, which again cancels time and leaves meters.
Acceleration and displacement can be obtained from the velocity-time graph. Acceleration is the rate of change of velocity, which can be found as the slope of the velocity-time graph. Displacement can be determined by finding the area under the velocity-time graph, as it represents the distance traveled by an object.
It represent the distance covered is 40 metre.
Acceleration: By finding the slope of the velocity-time graph at a specific point, you can determine the acceleration at that instant. Total displacement: The area under the velocity-time graph represents the total displacement traveled by an object in that time interval.
To go from a position graph to a velocity graph, you can calculate the slope of the position graph at each point. The slope at any given point on a position vs. time graph represents the velocity at that specific time. Therefore, the velocity graph would be a plot of the slopes at each point on the position graph.
A velocity-time graph shows how an object's velocity changes over time. The slope of the graph represents the object's acceleration, and the area under the curve represents the total displacement of the object. It is a useful tool for understanding an object's motion.
Acceleration and displacement can be obtained from the velocity-time graph. Acceleration is the rate of change of velocity, which can be found as the slope of the velocity-time graph. Displacement can be determined by finding the area under the velocity-time graph, as it represents the distance traveled by an object.
the physical quantity is distance and unit is meters
The area under a velocity-time graph represents the displacement of an object over a given time interval. It is a measure of the distance traveled by the object in that time period.
Distance travelled (displacement). Distance = velocity/time, so velocity * time = distance. Likewise, x = dv/dt so the integral of velocity with respect to time (area under the graph) is x, the distance travelled.
It represent the distance covered is 40 metre.
To find the position from a velocity-vs-time graph, you need to calculate the area under the velocity curve. If the velocity is constant, the position can be found by multiplying the velocity by the time. If the velocity is changing, you need to calculate the area under the curve using calculus to determine the position.
Acceleration: By finding the slope of the velocity-time graph at a specific point, you can determine the acceleration at that instant. Total displacement: The area under the velocity-time graph represents the total displacement traveled by an object in that time interval.
To go from a position graph to a velocity graph, you can calculate the slope of the position graph at each point. The slope at any given point on a position vs. time graph represents the velocity at that specific time. Therefore, the velocity graph would be a plot of the slopes at each point on the position graph.
A velocity-time graph shows how an object's velocity changes over time. The slope of the graph represents the object's acceleration, and the area under the curve represents the total displacement of the object. It is a useful tool for understanding an object's motion.
The area under an acceleration-time graph is equal to the object's velocity (not change in velocity).
The area under the acceleration-time graph represents the change in velocity over a given time interval. It provides information about how the velocity of an object changes over time, with positive area indicating acceleration and negative area indicating deceleration.
No, displacement is the area under the velocity vs. time graph. The slope of a velocity vs. time graph represents acceleration.