Not always.
A proper speed-time graph will show the distance covered by a body in unit tme - which is how instantaneous speed is defined. The height of the graph at the point in time that is of interest, will give the distance covered in unit time - at that time. If the graph is not a straight line then the answer is given by the average value of the height of the graph over an interval going half-a-unit of time either side of the point of interest.
However, speed-time graphs are often related to corresponding distance-time graphs. In such a case, the graph records the velocity of a body in the direction towards or away from the origin at various points in time. It takes no account whatsoever of any motion in a transverse direction. So the component of velocity in a transverse direction is lost. Thus, suppose O is the origin and I am at position P. If I move at right angles to OP, the speed-time graph will not show me moving at all.
To get speed from a distance-time graph, you would calculate the slope of the graph at a given point, as the gradient represents speed. To calculate total distance covered, you would find the total area under the graph, as this represents the total distance traveled over time.
the slope of distance time graph gives us velocity but when the body is at rest it will be zero
yes,displacement is the shortest distance covered by a body,so distance covered by a body may be greater than the displacement.
To determine the speed of a body from a distance-time graph when the body starts from rest, you can find the slope of the graph. The slope of a distance-time graph represents the speed of the body. A steeper slope indicates a higher speed, while a shallower slope indicates a lower speed.
no
The distance covered by a body will be equal to its displacement when the body moves in a straight line without changing direction. This occurs when the body moves from one point to another point in a straight path, as the distance covered will be the same as the displacement between the initial and final positions.
about a hour
Yes, the distance covered by a body can be greater than the magnitude of displacement if the body moves along a curved path rather than a straight line. Distance is a scalar quantity that measures the total length of the path traveled, while displacement is a vector quantity that measures the shortest distance between the initial and final positions.
no
VelocityTime
The amplitude of the body is half of the distance covered in one vibration. In this case, the amplitude would be 10cm.
It is not possible to sketch anything using this browser. The speed of a body cannot be determined from a distance-time graph. The slope of the graph is a measure of the radial velocity - that is the speed directly towards or directly away from the starting point. However, there is absolutely no information of any motion in a transverse direction. Since motion in this direction cannot be assumed to be 0, the distance-time graph cannot be used to determine speed.