If the Object is falling at a constant velocity the shape of the graph would be linear. If the object is falling at a changing velocity (Accelerating) the shape of the graph would be exponential- "J' Shape.
Line graph
Of course yes. An object is stationary when the graph is horizontal in a displacement-time graph.
If the instant is finite, the object is in the position indicated on the graph
An x-t graph shows displacement over time, and a v-t graph shows velocity over time. The combination of the two graphs can give you great detail about the motion of an object over a given period of time. For example, if an object moved 2 cm over 2 seconds on the x-t graph, that says nothing about what direction the object moved in, but if you combine that data with the v-t graph and see that over those 2 seconds the object had a positive acceleration, that means that the object was moving away from the origin of the graph.
A distance-time graph shows the movement of an object with respect to time. The average slope between any two points on the graph is equal to the average velocity of the object between those two points. The instantaneous slope (or derivative) at a point on the graph is equal to the instantaneous velocity of the object at that point.
The displacement vs. time graph would show a curve that is increasing in a positive direction, meaning that the object is moving forward. The slope of the graph would be positive, indicating that the object is speeding up.
The displacement vs. time graph for an object that is speeding up in the positive direction will have a positive slope that is increasing over time. This indicates that the object is covering more distance in a shorter time interval as it accelerates.
A positive acceleration position-time graph indicates that the object is speeding up or moving in the positive direction.
A line angled upward
An acceleration graph shows the rate at which the velocity of an object is changing over time. It can indicate whether an object is speeding up, slowing down, or maintaining a constant velocity. The slope of the graph at any given point represents the acceleration of the object at that point.
A line angled upward
A line angled upward
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 kinetic energy vs time graph shows how the kinetic energy of an object changes over time. It can reveal information about the object's speed, acceleration, and direction of motion. The shape and slope of the graph can indicate if the object is speeding up, slowing down, or maintaining a constant speed.
If you only have the speed/time graph, you can't calculate force out of it. You could if you also knew the mass of the object that's speeding along, but not with the speed alone.
When the slope of a velocity vs. time graph is not zero, it indicates that the object is accelerating. Positive slope means the object is speeding up, negative slope means it is slowing down.
Actually, a negative slope on a velocity vs. time graph indicates that the object is decelerating or moving in the opposite direction. If the slope is constant, the object is moving at a constant velocity.