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What is the gradient of a graph in a displacement time and velocity time graphs?
In a displacement-time graph, the gradient represents velocity. In a velocity-time graph, the gradient represents acceleration.
Velocity is the slope of the displacement vs time 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.
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.
How does the position vs time graph of an object relate to its velocity vs time graph?
The position vs time graph of an object shows its location at different times, while the velocity vs time graph shows how fast the object is moving at those times. The slope of the position vs time graph represents the velocity on the velocity vs time graph.
Is displacement the slope of the velocity vs time graph?
No, displacement is the area under the velocity vs. time graph. The slope of a velocity vs. time graph represents acceleration.
What information can be learned from a position-time graph and from a speed-time graph?
A position time graph can show you velocity. As time changes, so does position, and the velocity of the object can be determined. For a speed time graph, you can derive acceleration. As time changes, so does velocity, and the acceleration of the object can be determined.If you are plotting velocity (speed) versus time, the slope is the acceleration.
What is a velocity time graph in detail?
A velocity time graph is still a velocity time graph - no matter the degree of detail that you look at it.
How is a distance time graph different from a velocity time graph?
A distance-time graph shows how an object's distance from a starting point changes over time, indicating its position at various moments. In contrast, a velocity-time graph displays how an object's velocity changes over time, revealing information about its speed and direction. While the distance-time graph's slope represents speed, the velocity-time graph's slope indicates acceleration. Thus, each graph provides distinct insights into an object's motion.
How do you develop the general velocity equation from a Velocity vs Time graph?
Derivitives of a velocity : time graph are acceleration and distance travelled. Acceleration = velocity change / time ( slope of the graph ) a = (v - u) / t Distance travelled = average velocity between two time values * time (area under the graph) s = ((v - u) / 2) * t
What is the gradient of a graph in a displacement time and velocity time graphs?
In a displacement-time graph, the gradient represents velocity. In a velocity-time graph, the gradient represents acceleration.
Velocity is the slope of the displacement vs time 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.
How do you make a velocity vs time graph from an acceleration vs time graph?
Your acceleration vs. Time graph is the slope of your velocity vs. time graph
How do you make an acceleration time graph from the data of a velocity time graph?
To create an acceleration-time graph from a velocity-time graph, you need to find the slope of the velocity-time graph at each point. The slope represents the acceleration at that specific instant. Plot these acceleration values against time to get the acceleration-time graph.
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.
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.
How does the position vs time graph of an object relate to its velocity vs time graph?
The position vs time graph of an object shows its location at different times, while the velocity vs time graph shows how fast the object is moving at those times. The slope of the position vs time graph represents the velocity on the velocity vs time graph.
Is acceleration the slope of velocity vs time graph?
No, acceleration is the rate of change of velocity with respect to time. It is the derivative of the velocity function, not the slope of the velocity vs. time graph. The slope of the velocity vs. time graph represents the rate of change of velocity, not acceleration.
