What is the relationship between position and time on a graph?
Table of Contents
- 1 What is the relationship between position and time on a graph?
- 2 What is the equation that show relation between position and time?
- 3 How can you use a position-time graph to interpret an objects position or displacement?
- 4 How do we interpret the slope of any distance time graph?
- 5 What relationship can be derived between velocity and time?
What is the relationship between position and time on a graph?
A position vs. time graph always has the position of the object plotted on the vertical axis and the time plotted on the horizontal axis. Remember that velocity is equal to the change in position divided by the change in time.
How do you graph time and distance?
Distance is plotted on the Y-axis (left) and Time is plotted on the X-axis (bottom). On a distance-time graph, there are no line sloping downwards. A moving object is always ‘increasing’ its total length moved with time. ‘Curved lines’ on a distance time graph indicate that the speed is changing.
What is the equation that show relation between position and time?
Summary
| traditional name | equation | relationship |
|---|---|---|
| 1st equation | v = v0 + at | velocity-time |
| 2nd equation | s = s0 + v0t + ½at2 | position-time |
| 3rd equation | v2 = v02 + 2a(s − s0) | velocity-position |
| merton rule | v = ½(v + v0) | average velocity |
What is the space under a distance time graph?
The area of a distance-time graph represents the speed of an object and speed in a particular direction is called velocity of an object.
How can you use a position-time graph to interpret an objects position or displacement?
A position- time graph shows how far an object has traveled from its starting position at any given time since it started moving. The steeper the line is, the greater the slope of the line and the faster the object’s motion is changing.
What is the relationship between distance and time?
When an object moves in a straight line at a steady speed, we can calculate its speed if we know how far it travels and how long it takes. This equation shows the relationship between speed, distance traveled and time taken: Speed is distance divided by the time taken.
How do we interpret the slope of any distance time graph?
In a distance-time graph, the slope or gradient of the line is equal to the speed of the object. The steeper the line (and the greater the gradient) the faster the object is moving.
Which equation of motion shows the relation between position and velocity?
Derive an equation for position – velocity relation (2as = v^2 – u^2) by graphical method.
What relationship can be derived between velocity and time?
Velocity is the measure of the amount of distance an object covers in a given amount of time. Here’s a word equation that expresses the relationship between distance, velocity and time: Velocity equals distance travelled divided by the time it takes to get there.