https://www.khanacademy.org/science/physics/one-dimensional-motion/acceleration-tutorial/a/what-are-velocity-vs-time-graphs
The slope of a velocity graph represents the acceleration of the object. So, the value of the slope at a particular time represents the acceleration of the object at that instant. The slope of a velocity graph will be given by the following formula: slope = rise run = v 2 − v 1 t 2 − t 1 = Δ v Δ t. v ( m / s) t ( s) r i s e r u n t 1 t 2

https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/v/position-vs-time-graphs
Watch this video to learn how to interpret position vs. time graphs and how they relate to displacement, velocity, and speed. You will see examples of different types of motion and how to calculate the slope of the graph. This is a key skill for understanding one-dimensional motion in physics.

https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/a/what-is-displacement
Displacement is defined to be the change in position of an object. It can be defined mathematically with the following equation: Displacement = = − ‍. ‍ refers to the value of the final position. ‍ refers to the value of the initial position. ‍ is the symbol used to represent displacement.

https://openstax.org/books/physics/pages/2-4-velocity-vs-time-graphs
Second, if we have a straight-line position-time graph that is positively or negatively sloped, it will yield a horizontal velocity graph. There are a few other interesting things to note. Just as we could use a position vs. time graph to determine velocity, we can use a velocity vs. time graph to determine position.

https://www.youtube.com/watch?v=nUb7xfkc0Ac
This physics video tutorial provides a basic introduction into motion graphs such as position time graphs, velocity time graphs, and acceleration time graphs

https://www.youtube.com/watch?v=x8d75nm6bzU
An explanation of what can be found by taking the gradient of and area under displacement-time and velocity-time graphs.By Cowen Physics (www.cowenphysics.com)

https://k12.libretexts.org/Bookshelves/Science_and_Technology/Physics/02%3A_Motion_in_One-Dimension/2.09%3A_Velocity_vs._Time_Graphs
Acceleration and Slope. In a velocity-time graph, acceleration is represented by the slope, or steepness, of the graph line. If the line slopes upward, like the line between 0 and 4 seconds in the Figure above, velocity is increasing, so acceleration is positive. If the line is horizontal, as it is between 4 and 7 seconds, velocity is constant

https://www.physicsclassroom.com/Teacher-Toolkits/Velocity-Time-Graphs/Velocity-Time-Graphs-Complete-ToolKit
For straight-line motion, average velocity can be represented by and calculated from the mathematical representation, a curved position versus time graph and a motion diagram. H.3.1.4 The velocity of an object in straight-line motion changes continuously, from instant to instant while it is speeding up or slowing down and/or changing direction

https://www.physicsclassroom.com/class/1DKin/Lesson-4/Determining-the-Area-on-a-v-t-Graph
The shaded rectangle on the velocity-time graph has a base of 6 s and a height of 30 m/s. Since the area of a rectangle is found by using the formula A = b x h, the area is 180 m (6 s x 30 m/s). That is, the object was displaced 180 meters during the first 6 seconds of motion. Area = b * h. Area = (6 s) * (30 m/s)

https://www.geogebra.org/m/pdNj3DgD
Adjust the Initial Position and the shape of the Velocity vs. Time graph by sliding the points up or down. Watch how the graphs of Position vs. Time and Acceleration vs. Time change as they adjust to match the motion shown on the Velocity vs. Time graph. New Resources. Introduction; cylinder net slider; Stairs (Optical Illusion) Play C3 E3 G3

https://byjus.com/physics/vt-graphs/
Case 3: Velocity-time graphs with increasing acceleration. W. When the acceleration is increasing with time, the velocity-time graph will be a curve as predicted from the equation: v = u + at. Since u = 0. v= at. Since acceleration is a function of time, the velocity-time graph will be a curve. Note: Since the acceleration continuously

https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/a/what-is-velocity
Another way of visualizing the motion of an object is to use a graph. A plot of position or of velocity as a function of time can be very useful. For example, for this trip to the store, the position, velocity, and speed-vs.-time graphs are displayed in Figure 3. Note that these graphs depict a very simplified model of the trip.

https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/02%3A_Kinematics/2.03%3A_Time_Velocity_and_Speed
Thus average speed is not simply the magnitude of average velocity. Figure 2.3.3 2.3. 3: During a 30-minute round trip to the store, the total distance traveled is 6 km. The average speed is 12 km/h. The displacement for the round trip is zero, since there was no net change in position. Thus the average velocity is zero.

https://www.youtube.com/watch?v=WJpImn6ZmB0
Velocity graphs. Acceleration graphs.Video Link: https://youtu.be/WJpImn6ZmB0

https://www.desmos.com/calculator/pokpg4q7y2
Distance Time Graph. to save your graphs! Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/a/position-vs-time-graphs
This expression for slope is the same as the definition of velocity: v = Δ x Δ t = x 2 − x 1 t 2 − t 1 . So the slope of a position graph has to equal the velocity. This is also true for a position graph where the slope is changing. For the example graph of position vs. time below, the red line shows you the slope at a particular time.

https://www.omnicalculator.com/physics/velocity
Provided an object traveled 500 meters in 3 minutes, to calculate the average velocity, you should take the following steps: Change minutes into seconds (so that the final result would be in meters per second): 3 minutes = 3 × 60 = 180 seconds. Divide the distance by time: velocity = 500 / 180 = 2.78 m/s.

https://www.desmos.com/calculator/grmcqhuuup
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Loading... Explore math with our beautiful, free online graphing calculator. ... Calculus: Tangent Line. example. Calculus: Taylor Expansion of sin(x) example. Calculus: Integrals

https://www.wolframalpha.com/widgets/view.jsp?id=d2468d1f831b40dfcd702793187ac50f
Added Jul 16, 2012 by ahazlina in Physics. A graph of velocity versus time (v-t graph) Send feedback | Visit Wolfram|Alpha. Get the free "Velocity-Time Graph" widget for your website, blog, Wordpress, Blogger, or iGoogle.

https://ophysics.com/k4b.html
In this simulation you adjust the shape of a Velocity vs. Time graph by sliding points up or down. Watch how the graphs of Position vs. Time and Acceleration vs. Time change as they adjust to match the motion shown on the Velocity vs. Time graph. Click here to donate to oPhysics.com to help keep the site going.

https://www.khanacademy.org/science/bridge-course-class-11th-physics/x4c0d503cda725c32:motion/x4c0d503cda725c32:graphs/v/velocity-time-graphs-acceleration
How do we calculate acceleration in general. We define acceleration, a, as the change in velocity divided by time. Change in velocity is always calculated as the final velocity, v minus initial velocity, u. So this is the change in velocity divided by time. So let's see if we can look at our graph and calculate this.

https://www.desmos.com/calculator/mojc1s5neu
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

https://www.desmos.com/calculator/z5tslhmmnf
Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. velocity-time graphs v2. Save Copy. Log InorSign Up. Adjust the sliders for initial velocity, u, acceleration, a, and time, t1. 1. a = 4. 2. u = 8 4. 3. t 1 = 1 0. 4. The plot and/or equations can be toggled on and off by clicking on their folder