2.4 Velocity vs. Time Graphs – Physics
(A) Graphs and charts describing different types of motion, including the use of real-time technology such as motion detectors or photogates. (B) Solving problems using velocity vs. time graphs
The graph of position versus time for the drive to and from school is shown. There are two distinct periods to the car’s motionu2014the way to school and the way back. In Figure 2.16, we have velocity on the y-axis and time on the x-axis. Dimensional analysis is one of the best ways to check if your math in physics makes sense.
Most velocity vs. time graphs will be straight lines, but more steps are required to calculate the average velocity. Take two points on the velocity line, say t = 5 s and t = 25 s, and add them together to get a net displacement of 2,700 m.
Find the total time, which in this case is 70 seconds. Estimate a triangle at the top and calculate the area for each section. Have students compare this problem to the last one.
How are velocity graphs related to position graphs?
The difference between the velocity-time graph and the position-time graph is that the velocity-time graph reveals an object’s speed (and whether it is slowing or speeding up), whereas the position-time graph describes an object’s motion over time.
What does the slope of a velocity time graph gives?
Explanation: The slope of a velocity graph represents the object’s acceleration, and the value of the slope at a given time represents the object’s acceleration at that time.
What is the velocity time graph?
A velocity-time graph, also known as a speed-time graph, depicts the speed and direction of an object over a period of time. The vertical axis of a velocity-time graph is the velocity of the object, while the horizontal axis is the time from the start.
How do you interpret a velocity time graph?
The slope of a line on a velocity-time graph reveals useful information about the object’s acceleration: if the acceleration is zero, the slope is zero (i.e., a horizontal line); if the acceleration is positive, the slope is positive (i.e., an upward sloping line).
Why is the slope of a velocity time graph acceleration?
The slope of a velocity graph represents the object’s acceleration, and the value of the slope at a given time represents the object’s acceleration at that time.
What is a position vs time graph?
The position of the object is always plotted on the vertical axis, and the time is always plotted on the horizontal axis, because velocity is equal to the change in position divided by the change in time, which is the slope on a position-time graph!
What is the slope of acceleration time graph?
The jerk is the rate of change of acceleration, and the slope of an acceleration graph represents this quantity.
Does position affect velocity?
If a function gives the position of something as a function of time, the first derivative gives its velocity, and the second derivative gives its acceleration; thus, you differentiate position to get velocity, and velocity to get acceleration.
Is slope equal to velocity?
The slope of a line on a position-time graph is equal to the velocity of the object; for example, if the object is moving at 4 m/s, the slope of the line will also be 4 m/s.
What does VX graph mean?
When and the initial velocity. and. We have the graph of acceleration vs displacement and want to generate the graph of velocity vs displacement from it. is the area under the curve in the acceleration vs displacement graph.