It has been learned in this lesson that the area bounded by the line and the axes of a velocity-time graph is equal to the displacement of an object during that particular time period. The area can be identified as a
rectangle, triangle, or trapezoid
.
What does area under position time graph gives?
The area under the displacement time graph gives us nothing it is the slope of the displacement time graph which gives us the
velocity of the body undergoing displacement
.
What does displacement time graph represent?
Displacement-time graphs show
how the displacement of a moving object changes with time
. A horizontal line on a displacement-time graph shows that the object is stationary (not moving because the displacement does not change) A sloping line on a displacement-time graph shows that the object is moving.
What does the area under velocity time graph represent ?
The area under the velocity-time graph represents
the distance travelled
. Velocity-time graph for a car moving with uniform acceleration is a straight line and the area of the graph gives the distance travelled during a time interval.
What is difference between distance and displacement?
Distance is a scalar quantity that refers to “how much ground an object has covered” during its motion. Displacement is a vector quantity that refers to “how far out of place an object is”; it is the object’s overall change in position.
What is the shape of displacement time graph?
Displacement time graph for rest is
a straight line with zero slope
. Displacement time graph for uniform motion is a straight line with non-zero slope. Displacement time graph for uniform acceleration is a parabola.
Why is displacement the area under curve?
You can’t fully represent displacement by finding the area, since as a vector quantity, displacement also requires a direction. Finding the area only gives an amount, no direction. The area under the curve is
the magnitude of the displacement
, which is equal to the distance traveled (only for constant acceleration).
What is an acceleration vs time graph?
An acceleration vs. time graph plots
acceleration values on the y-axis, and time values on the x-axis
. … time graph, the slope at that point (derivative) will always be equal to the acceleration at that time. So, if at some moment your acceleration is positive, then at that moment your velocity will be increasing.
What is a position time graph for?
A position-time graph shows
how far an object has traveled from its starting position at any given time since it started moving
.
What does the area under velocity time graph represent Class 9?
The area under the line on a velocity-time graph is
equal to the displacement of the object
. The area under a speed-time graph is the distance. Speed cannot be negative, and neither can the distance. … The area under a velocity-time graph is the displacement.
What is the change in position of an object called?
Any body that changes its position over time is said to be
in motion
. It can be mathematically described by using speed, velocity, distance covered, displacement, acceleration and time. … So we could conclude that the process of change in position of an object over time is called motion.
What is displacement with example?
Displacement is defined as the change in position of an object. … For example-
If an object moves from A position to B, then the object’s position changes
. This change in position of an object is known as Displacement.
What is difference between distance and displacement with example?
| Distance Displacement | 2) It can never be negative or zero, always positive 2) It can be positive, negative or zero depending on the context. |
|---|
What is the relation between displacement and distance?
The complete length of the path between any two points is called distance. Displacement is
the direct length between any two points when measured along the minimum path between them
. To calculate distance, the direction is not considered. To calculate displacement, the direction is taken into consideration.
Which displacement time graph is not possible?
Final answer is, graph (C) is not possible as it is showing a
negative time slope
which is not possible or Position-time graph, represent the position of any particle any time t, A particle never acquires more than one position at any particular time.
