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How the velocity - time graph can be used to find the distance traveled by the body in a given time?
Sure. By finding the area under the curve within the limits of time, we can find the distance covered in that time duration.
Since v = ds / dt, ds = v dt.
So for small time gap dt, vdt gives the displacement ds. So by integrating vdt for the limits, we can get the total displacement S
What else can I help you with?
Which physical quantity is measured by the area under velocity time graph?
The distance covered in the direction of motion or the opposite direction. Distance covered in the transverse direction is not included.
What is the quantity which is measured by the area occupied below the velocity - time graph?
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.
What is importance of velocity time graph?
A velocity-time graph shows how an object's velocity changes over time. It is important because it provides information about an object's acceleration (slope of the graph), direction of motion (positive or negative slope), and allows for the calculation of the total distance traveled by the object.
Suppose you plot the distance traveled by an object at various times and you discover that the graph is not a straight line what does this indicate about the object acceleration?
If the graph of distance traveled vs. time is not a straight line, it indicates that the object's acceleration is not constant. Acceleration is the rate of change of velocity, so a non-linear distance-time graph suggests that the object's velocity is changing at a non-constant rate, causing a curved graph.
In what kind of graph can you identify velocity?
Velocity can be identified in a position-time graph through the slope of the curve at any given point. The slope represents the velocity at that particular moment in time. A steeper slope indicates a higher velocity, while a shallow slope indicates a lower velocity.
How is the velocity-time graph related to the distance traveled?
The product of velocity and time yields distance travelled if the velocity is constant for the time in question. If velocity is not constant, one must first calculate the average velocity over a given time period before multiplying it by the time involved.
What does the graph where time is on the x axis ans velocity is on the y axis do?
Gives you distance traveled.
Which physical quantity is measured by the area under velocity time graph?
The distance covered in the direction of motion or the opposite direction. Distance covered in the transverse direction is not included.
Distance time graph?
distance time graph is a graph traveled in a graph which shows how much we have traveled in equal period of time.
Name the two physical quantities which can be obtained from the velocity-time graph?
well, the area under the curve between a time interval is equal to the distance traveled on that specific time interval. So one quantity is distance. As for another quantity, the answer would be velocity, but I think they may want a less obvious answer. A quantity out side of velocity could be instantaneous acceleration. This is given by the slope of the the tangent line to the velocity-time graph. Hope this helps you answer your question. Though I think the most simple way to understanding why is to take a course of calculus.
Calculate distance from a velocity time graph?
The area between the graph and the x-axis is the distance moved. If the velocity is constant the v vs t graph is a straight horizontal line. The shape of the area under the graph is a rectangle. For constant velocity, distance = V * time. Time is the x-axis and velocity is the y-axis. If the object is accelerating, the velocity is increasing at a constant rate. The graph is a line whose slope equals the acceleration. The shape of the graph is a triangle. The area under the graph is ½ * base * height. The base is time, and the height is the velocity. If the initial velocity is 0, the average velocity is final velocity ÷ 2. Distance = average velocity * time. Distance = (final velocity ÷ 2) * time, time is on the x-axis, and velocity is on the y-axis. (final velocity ÷ 2) * time = ½ time * final velocity ...½ base * height = ½ time * final velocity Area under graph = distance moved Most velocity graphs are horizontal lines or sloping lines.
What is the quantity which is measured by the area occupied below the velocity - time graph?
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.
What one thing does a velocity-time graph not tell you about your object that a position-time graph does?
Distance covered at a given time.
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.
What is importance of velocity time graph?
A velocity-time graph shows how an object's velocity changes over time. It is important because it provides information about an object's acceleration (slope of the graph), direction of motion (positive or negative slope), and allows for the calculation of the total distance traveled by the object.
Why might the distance traveled in a given second vary on a graph showing speed?
because the speed is constant..
Suppose you plot the distance traveled by an object at various times and you discover that the graph is not a straight line what does this indicate about the object acceleration?
If the graph of distance traveled vs. time is not a straight line, it indicates that the object's acceleration is not constant. Acceleration is the rate of change of velocity, so a non-linear distance-time graph suggests that the object's velocity is changing at a non-constant rate, causing a curved graph.
