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I think you mean distance traveled. Every tiny period "dt" of time, the distance gone is the velocity at that time, times dt. Plot velocity against time. Each little slice of velocity times dt is a slice of the area. So the total distance is the total area under the graph from time t=0 to the finish, or to whatever time you want. This is the principle behind the Integral Calculus.
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∙ 11y ago
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What is the difference between a velocity time graph and a position time graph?
Simply put, a velocity time graph is velocity (m/s) in the Y coordinate and time (s) in the X and a position time graph is distance (m) in the Y coordinate and time (s) in the X if you where to find the slope of a tangent on a distance time graph, it would give you the velocity whereas the slope on a velocity time graph would give you the acceleration.
How do you find the average velocity on a graph?
The answer depends on what variables the graph shows.
How do you find final Velocity of an object?
The final velocity is (the initial velocity) plus (the acceleration multiplied by the time).
How do you find a final velocity without distance but given time?
Without distance, you have to know time, initial velocity, and acceleration, in order to find final velocity.
What is the formula for calculating final velocity when you know the initial speed and the acceleration?
the formula for finding acceleration is final velocity, minus initial velocity, all over time. So if you have the acceleration and initial speed, which is equal to the initial velocity, you must also have time in order to find the final velocity. Once you have the time, you multiply it by the acceleration. That product gives you the difference of the final velocity and initial velocity, so then you just add the initial velocity to the product to find the final velocity.
How do you find instantaneous velocity from position time graph?
To find instantaneous velocity from a position-time graph, you calculate the slope of the tangent line at a specific point on the graph. The slope represents the rate of change of position at that instant, which is equivalent to the velocity at that particular moment.
Find position given velocity vs time graph?
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.
How do you go from a position graph to a velocity graph?
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.
What is the difference between a velocity time graph and a position time graph?
Simply put, a velocity time graph is velocity (m/s) in the Y coordinate and time (s) in the X and a position time graph is distance (m) in the Y coordinate and time (s) in the X if you where to find the slope of a tangent on a distance time graph, it would give you the velocity whereas the slope on a velocity time graph would give you the acceleration.
How can you use graphs to find the displacement of an object?
You can use a position-time graph to find the displacement of an object by determining the change in position between the initial and final points on the graph. The displacement is the area under the curve of the graph, which corresponds to the distance traveled by the object in a particular time interval. Mathematically, displacement can be calculated by integrating the velocity-time graph or finding the slope of the graph at different time points.
How can you find final position without knowing initial velocity?
You can find the final position by using the acceleration and time. If you know the initial velocity and acceleration, you can calculate the final position using the kinematic equation ( x = x_0 + v_0t + \frac{1}{2}at^2 ), where ( x_0 ) is the initial position, ( v_0 ) is the initial velocity, ( a ) is the acceleration, ( t ) is the time, and ( x ) is the final position.
How do you get displacement from a displacement graph?
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.
How do you calculate the velocity of a moving object from two points on a position time graph?
You can calculate the velocity of a moving object from two points on a position-time graph by finding the slope of the line connecting those two points. The slope represents the average velocity of the object between those two points. Divide the change in position by the change in time to find the velocity.
Calculate distance from a velocity time graph?
To calculate distance from a velocity-time graph, you would find the area under the curve, as this represents the displacement or distance traveled. If the graph is above the time axis, calculate the area above the time axis, and if it dips below, calculate the area below the time axis. Summing these two areas will give you the total distance traveled.
How do you find the average speed from a velocity time graph?
To find the average speed from a velocity-time graph, calculate the total distance traveled and divide it by the total time taken. This will give you the average speed. Alternatively, you can find the slope of the secant line that connects the initial and final points on the graph to determine the average speed.
How do you find the velocity of a ball?
Some channels show you the distance between the ball and the goal at freekicks. They also show the speed of the shot. On average a freekick is between 80 and 100km\h.
How do you find the average velocity on a graph?
The answer depends on what variables the graph shows.
