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.
Velocity is defined by physicists as both speed and direction, that is to say, if you are moving at 30 feet per second in a northerly direction, that is a velocity. Acceleration means a change in velocity. Physicists consider speeding up, slowing down, or changing direction all to be forms of acceleration; in more everyday usage, acceleration us used to mean speeding up and deceleration means slowing down. So, if your speed increases from 30 feet per second to 40 feet per second, that is acceleration.
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.
Concave up. "Acceleration is increasing with time" tells us that the derivative of acceleration is positive. Since acceleration is the derivative of velocity, this means that the second derivative of velocity is positive. By definition, having a non-negative second derivative means that velocity is concave up.
Normally a position-time graph is actually a distance-time graph where the distance of an object is measured from a fixed point called the origin. The slope (gradient) of the graph is the radial velocity - or the component of the velocity in the radial direction - of the object. That is, the component of the object's velocity in the direction towards or away from the origin. Such a graph cannot be used to measure the component of the velocity at right angles to the radial direction. In particular, an object going around in a circle would appear t have no velocity since its distance from the origin remains constant.
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 distance time graph gives us velocity but when the body is at rest it will be zero
Acceleration is directly proportional to applied force. When acceleration increases, force also increases. If the force is tripled, the acceleration will also be tripled. Note that the mass must remain constant...
The flat line tells us that the object is moving at a constant velocity. It has zero acceleration.
The idea is that you should: a) Calculate the change in velocity. b) Divide this change by the time. This gives you the average acceleration over the 20 seconds, in this case.
How the speed of something changes over time.