It is moving at a constant speed with no acceleration nor decceleration
the body is in accelerated motion.
The motion of a body towards and from some fixed point. It can also be used to find the acceleration (or deceleration) in the same direction or the total distance from the fixed point in the direction of motion. But the graph gives no information at all on motion in any other direction. So, the horizontal displacement of a rocket going straight up would always be 0!
The expected answer - of either a position time graph or a speed time graph - is wrong. That is because these take account of motion in the line joining the origin to the moving body but not any motion in a transverse direction.
As the body is at rest, its distance from some point is not changing, so the graph will be a straight line parallel to the time axis (including the possibility of being on the time axis).
distance = speed x time the speed is the slope of the line which if parallel to X axis is zero - that means speed = 0 and distance is not changing with time, so the object is at rest ( not moving) relative to the observer
uniformly accelerated motion
The object is moving at a constant speed.
yo yo
If the distance/time graph is a straight line that makes a constant angel with the time axis, then the body's speed is constant, and is equal to the slope of the straight line (tangent of the constant angel).
A velocity-time graph is often a misnomer since it is, in almost all cases, a graph showing the component of velocity in the direction towards and away from a fixed point of reference. The graphs do not usually included any information on the motion in a perpendicular direction. Therefore, a straight line in a "velocity"-time graph indicates that there is no acceleration in the radial direction.
the body is in accelerated motion.
Linear Motion is motion of object/body along a straight line.Random Motion is the motion of an object/body along a disordered or irregular line.
Distance-time graph will show a straight line with a positive slope. Speed-time graph will show a horizontal line at the uniform speed. Acceleration-time graph will show a horizontal line at a = 0.
path traced by the body is in the form of straight line
It is due to its inertia of motion
The motion of a body towards and from some fixed point. It can also be used to find the acceleration (or deceleration) in the same direction or the total distance from the fixed point in the direction of motion. But the graph gives no information at all on motion in any other direction. So, the horizontal displacement of a rocket going straight up would always be 0!
If a body is moving with variable speed, then the only thing you can say aboutits speed/time graph is that the graph is not a straight, horizontal line.