Directly it shows the distance of an object from a fixed point (usually the origin) at various times. The gradient of the tangent to the graph (where it exists) shows the velocity of the object and the second derivative (again, if it exists), gives the acceleration.
How the speed of something changes over time.
(1) Derivatives are useful tools for providing information about the behaviour of the graph.(2)Derivatives helps to measure the steepness of the graph.(3)Derivatives gives us information wether the graph is increasing or decreasing.(4) Derivatives Helps us to determine maximum,minimum value,and crital pointsof graph. hope it will help Kalim Raja
The object is accelerating
A proper speed-time graph is one in which time is plotted on the horizontal axis and the speed of the object under study is plotted on the vertical axis.In fact, what you will come across is most likely to be a radial-speed time graph. In such a graph, the speed depicted is the speed away from of towards the origin (or point of reference) or the component of speed in the radial direction. Movement across that direction is likely to be ignored.Also, to be of real use, you need a velocity time graph, which takes account of the direction of travel.
The graph of acceleration vs. time shows how an object's acceleration changes over time. It allows us to see if the object is speeding up, slowing down, or maintaining a constant velocity. The slope of the graph represents the rate of change of acceleration.
The gradient of a distance-time graph gives the object's speed.
No, a velocity graph shows changes in an object's velocity over time, while an acceleration graph shows changes in an object's acceleration over time. Velocity is the rate of change of position, while acceleration is the rate of change of velocity.
Directly it shows the distance of an object from a fixed point (usually the origin) at various times. The gradient of the tangent to the graph (where it exists) shows the velocity of the object and the second derivative (again, if it exists), gives the acceleration.
If acceleration is increasing with time, the velocity graph will be concave up. This is because a positive acceleration causes the velocity to increase over time, resulting in a curve that opens upward on the velocity-time graph.
Velocity-time graphs provide a visual representation of an object's velocity over time, making it easy to interpret the object's motion. They can help identify changes in velocity, determine acceleration or deceleration, and calculate distance traveled. Comparing multiple velocity-time graphs can also help analyze and compare the motion of different objects.
A speed graph shows how an object's speed changes over time. The horizontal axis represents time, while the vertical axis represents speed. The slope of the line on the graph indicates the acceleration or deceleration of the object.
The slope of the distance-time graph when the body is at rest is zero. This indicates that there is no change in distance over time, meaning the body is stationary or not moving.
The graph of force vs acceleration typically shows a linear relationship as described by Newton's Second Law, which states that force is directly proportional to acceleration. As acceleration increases, the force required to achieve that acceleration also increases. The slope of the graph represents the mass of the object, with a steeper slope indicating a greater mass.
A flat line on a velocity vs. time graph represents constant velocity, indicating that an object is moving at a consistent speed without changing.
The runner's acceleration can be calculated using the formula: acceleration = (final velocity - initial velocity) / time. Plugging in the values gives us: (4 m/s - 2 m/s) / 20 s = 0.1 m/s^2. Therefore, the runner's acceleration is 0.1 m/s^2.
To find the time it takes for the object to stop, we need to determine when the velocity becomes zero. We can use the equation: final velocity = initial velocity + (acceleration × time). Plugging in the values, we get: 0 = 24 + (-4 × time). Solving for time gives us time = 6 seconds.