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How the velocity - time graph can be used to find the distance traveled by the body in a given time?
Wiki User
∙ 11y ago
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
Wiki User
∙ 11y ago
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In what kind of graph can you identify velocity?
A graph of distance against time.
What are the information that can be obtained from a velocity - time graph?
if the segments on the disp vs time graph are straight lines, you merely measure the slope of those lines; the velocity is the slope of the lineso if the disp vs time graph shows a straight line of slope 3 between say t=0 and t=4, then you know the object had a constant speed of 3 units between t=0 and t=4;if the disp vs time graph is curved, then you need to find the slope of the tangent line to the disp vs time curve at each point; the slope of this tangent line is the instantaneous speed at the time, and with several such measurements you can construct your v vs t graph
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 are the advantages of velocity time graph?
Normally a position-time graph is actually a distance-time graph where the distance of an object is measured from a fixed point called the origin. The slope (gradient) of the graph is the radial velocity - or the component of the velocity in the radial direction - of the object. That is, the component of the object's velocity in the direction towards or away from the origin. Such a graph cannot be used to measure the component of the velocity at right angles to the radial direction. In particular, an object going around in a circle would appear t have no velocity since its distance from the origin remains constant.
What is the slope in the distance time graph when the body is at rest?
the slope of distance time graph gives us velocity but when the body is at rest it will be zero
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.
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.
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 figure out the starting point of a distance vs time graph when given the velocity vs time graph and a function?
it starts from zero.....
Why might the distance traveled in a given second vary on a graph showing speed?
because the speed is constant..
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.
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.
What does a zero velocity graph look like?
In a velocity-time graph it will be the time axis (where velocity = 0). On a distance-time graph it will be a line parallel to the time axis: distance = some constant (which may be 0).
What do distance time graphs show?
Distance time graph shows the distance an object has traveled with respect to time. Time is plotted on the horizontal axis and distance is plotted on the vertical axis. The slope of the graph at any particular point in time will be equal to the instantaneous velocity at that point in time.
In what kind of graph can you identify velocity?
A graph of distance against time.
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.
