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 gradient of a distance-time graph gives the object's speed.
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.
the slope of distance time graph gives us velocity but when the body is at rest it will be zero
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.
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.
The flat line tells us that the object is moving at a constant velocity. It has zero acceleration.
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...
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.
How the speed of something changes over time.
a double line graph is a graph that is same as a line graph but there are two lines
(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
a speed graph shows us how the speed of a moving object changes with time