how do you measure the distance travelled by an object in velocity and uniform acceleration graph
Answers
Thus, distance or displacement by the object is equal to the area of the rectangle (shaded) ABCD. Since given object is moving with constant velocity along a straight line, thus displacement will be equal to distance covered. Therefore, Distance or Displacement = velocity X time interval.
Explanation:
Distance-time graph is the plot of distance travelled by a body against time. So it will tell us about the journey made by a body and its speed. Below is an example of a distance-time graph, if it is a straight horizontal line than the body is stationary, its speed is zero, if the line is diagonal than its moving with a constant speed and if it is anything other than a straight line then the speed is varying.
Distance Time Graph
Distance-Time Graph for Uniform Motion
Let us now consider a distance-time graph in which the body is moving with uniform motion. A body is said to be in uniform motion when the body covers the equal distance in equal time intervals. Let’s consider a time interval of 1 second, If a body covers 10 meters in the first 1-second then it should cover 10 meters in every second from there on, this will indicate that the body is in uniform motion. Let’s draw a graph for uniform motion.
As in uniform motion, the distance time graph would be a straight line, because the equal distance is covered in equal units of time.
Distance Time Graph
You can see that there are three bodies A, B and C, all of them are in uniform motion then why do they have different slopes?
It is because the slope of a distance-time graph determines the speed of that body, so steeper the slope greater will be the speed of the body. From the above graph, we can come to a conclusion that body A has the highest speed and body C has the least speed.
Velocity-Time Graph