the body is in accelerated motion.
If the gradient is a positive number the curve is increasing, and if the gradient is a negative number it is decreasing.
-- Pick two points on the graph. -- Find the difference in time between the two points. -- Find the difference in displacement between the same two points. -- (Difference in displacement) divided by (difference in time) is the average Speed . You can't tell anything about velocity from the graph except its magnitude, because the graph displays no information regarding the direction of motion.
The displacement, along the direction of measurement, is zero. It need not mean that the object is back at the starting point. The displacement-time graph, measuring the vertical displacement of a ball thrown at an angle, will have displacement = 0 when the ball returns to ground level but, unless you are extremely feeble, the ball will be some distance away, not at its starting point which is where you are. The use of such a graph is not unusual in the elementary projectile motion under gravity.
A bobsled's distance-time graph indicates that it traveled 100 m in 25 s. What is the bobsled's speed
Displacement is the area under the v-t graph.
On a graph showing the motion of an object, variables such as time (on the x-axis) and position or displacement (on the y-axis) would be used. The slope of the graph would represent the object's velocity, while the area under the curve would represent the object's displacement.
To find the displacement from a negative velocity-time graph, you need to calculate the area under the curve for the portion representing displacement. If the velocity is negative, the displacement will be in the opposite direction. The magnitude of the displacement is equal to the absolute value of the area under the curve.
The shape of a displacement versus time graph for an object could vary depending on the motion. It could be a straight line for constant velocity, a curve for accelerated motion, zero line for zero velocity, or negative slope for motion in the opposite direction.
To obtain average velocity from a displacement-time graph, divide the total displacement by the total time taken. For instantaneous velocity, find the slope of the tangent to the curve at a specific point on the graph. This tangent represents the velocity at that instant.
The displacement-time graph for uniformly accelerated motion is a curve that is concave upwards. It starts with a less steep slope and gradually becomes steeper as time progresses due to the acceleration being constant.
To calculate displacement from a displacement graph, find the area under the curve. If the graph is a straight line, you can subtract the initial position from the final position. If the graph is not a straight line, calculate the integral of the graph to determine the total displacement.
The shape of the displacement-time graph for uniform motion is a straight line with a constant slope. This indicates that the object is moving at a constant speed in a straight line.
The velocity-time graph for uniform retardation is a straight line with a negative slope. The velocity decreases uniformly over time until it reaches zero. The area under the graph represents the displacement of the object.
You can use a position-time graph to find the displacement of an object by determining the change in position between the initial and final points on the graph. The displacement is the area under the curve of the graph, which corresponds to the distance traveled by the object in a particular time interval. Mathematically, displacement can be calculated by integrating the velocity-time graph or finding the slope of the graph at different time points.
If the gradient is a positive number the curve is increasing, and if the gradient is a negative number it is decreasing.
If the motion changes, the graph might show a different shape, slope, or position. For example, if the speed increases, the graph might show a steeper slope. If the direction of motion changes, the graph might show negative values or a curve. Any variation in the motion will be reflected in the graph.
To obtain the average velocity from a displacement-time graph, you can calculate the slope of the line connecting two points on the graph. Divide the change in displacement by the change in time. To obtain the instantaneous velocity, you need to find the slope of the tangent line at a specific point on the graph. Choose a point on the graph and draw a line tangent to the curve at that point. The slope of this tangent line will give you the instantaneous velocity at that specific point.