for a freely falling object displacement(s)=(1/2)gt^2. (g=acceleation due to gravity)
if an object is given initial velocity(u) then displacement equation is s=ut+(1/2)gt^2.
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.
Instantaneous velocity mean change of displacement in extremely small amount time. (in math way, taking[ lim t--->0 (change in displacements/change in time) ]. instantaneous speed is the same expect displacement change to distance. So,because of very very small change in time, magnitude of distance and displacement will be same for any direction the object is moving.
Displacement is distance from starting point. If the object is always travelling in the same direction then they are the same. If the object turns round, the distance would still be increasing, however the displacement would be decreasing at the same rate.
Of course yes. An object is stationary when the graph is horizontal in a displacement-time graph.
Displacement divided by time is VELOCITY. Definition of velocity is rate of change of displacement with respect to time. Suppose a object gets displaced by 5m in 2 seconds, its velocity will be5/2=2.5 m/s(m/s is its unit).It means that object will go 2.5m in 1 second. Let us take oone more example. Say a object has moved by 6m in 12 seconds, Its velocity will be:6/12=0.5m/s Means it will cover a distance of 0.5m in one second.
displacement
Velocity is change in displacement over time.
The displacement of an object is its Volume.
The equasion is: Velocity2 = Kinetic energy \ 1/2mass Or Velocity = displacement/time Or Velocity= change in position/Time Hope this helped, of it does please recommend me it would be much appreciated
Speed is the rate of change of distance with time. Velocity is the rate of change of displacement with time.
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.
The change in an objects position is called motion.
The speed of an object is its rate of displacement. Specifically, it is the rate of displacement over time or the first derivative of displacement with respect to time.
Displacement is the change in position of an object. The equation for displacement is Δd = df - di , where Δd is change in position (which is displacement), df is final position, and di is initial position.
Velocity is change in position, or displacement, over time.
The slope of the function on a displacement vs. time graph is (change in displacement) divided by (change in time) which is just the definition of speed. A relatively steep slope indicates a relatively high speed.
If the displacement varies as the cube of time then acceleration is linear in time.In physics and engineering, the time rate of change of acceleration is called "jerk."(See related link.)Here is the math.1. We are given that the displacement of a particle is proportional to the cube of the time.We put this statement into the form, d= c * t3.2. The velocity of an object is the time rate of change of position (displacement).v=3c*t23. The acceleration of an object is the time rate of change of the velocity.a=6c*t 4. The acceleration is then linear in time and the jerk is, j=6c.