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.
The instantaneous speed is the gradient of the graph at that particular point.
Distance traveled by an object per unit of time is called speed. Speed is a scalar quantity. It is always greater than or equal to zero. Direction is not associated with this physical quantity. Speed at any instant is called instantaneous speed. Speedometer in vehicles show instantaneous speed viz. speed at any instant of time. Speed at any instant = derivative of traveled distance with respect to time = dx/dt.
The instantaneous speed is the speed of a moving body at an instant. Average speed is the overall speed through a period of time. These are two important aspects of differentiation in calculus.
This is done with a process of limits. Average rate of change is, for example, (change of y) / (change of x). If you make "change of x" smaller and smaller, in theory (with certain assumptions, a bit too technical to mention here), you get closer and closer to the instant rate of change. In the "limit", when "change of x" approaches zero, you get the true instantaneous rate of change.
# A car is traveling at a constant velocity with magnitude . At the instant that the car passes a motor cycle officer, the motor cycle accelerates from rest with acceleration . # ## Sketch an graph of the motion of both objects. Show that when the motor cycle overtakes the car, the motorcycle has a speed twice that of the car, no matter what the value of . ## Let be the distance the motorcycle travels before catching up with the car. In terms of , how far has the motorcycle traveled when its velocity equals the velocity of the car?
The instantaneous speed can be thought of as the magnitude of the velocity vector at a specific moment in time. It represents how fast an object is moving at that exact instant.
Magnificent
Velocity is a vector quantity that includes both speed and direction, while instantaneous speed is the magnitude of velocity at a specific moment in time without considering direction. In other words, velocity accounts for the object's motion in a specific direction, whereas instantaneous speed is the rate at which an object is moving at a given instant, regardless of direction.
That's correct, the instantaneous magnitudes are equal. Non-instantaneous values may not be equal. For example, to find average speed, between two points, you divide the actual path distance by the time, but for average velocity you divide the straight line distance, between the points, by the time. The straight line distance could be quite a bit shorter then the actual path distance (for curved motion) so you could get a big difference between those averages. When calculating "instantaneous" values, however, the difference between "actual path distance" and "straight line distance" becomes insignificant, because you are using distances for infintesimally small time intervals.
It is the speed or velocity at a particular instant.
Instantaneous velocity is the velocity of an object at a specific instant in time. It is the rate of change of position of an object with respect to time at that exact moment. This instant velocity may differ from the average velocity over a given time interval.
Instantaneous velocity refers to the velocity of an object at a specific moment in time. It is the rate at which an object's position changes with respect to time at a particular instant, and it is typically represented as a vector quantity with both magnitude and direction.
Mainly, when the velocity doesn't change. Also, in the case of varying velocity, the instantaneous velocity might, for a brief instant, be equal to the average velocity.
Instantaneous speed is the speed of an object at a specific moment in time, represented by the magnitude of the instantaneous velocity vector. It is the rate at which an object is moving at a particular instant, without any consideration of the path taken or how the speed may have varied up to that point.
Instantaneous acceleration is the rate of change of velocity at a specific moment in time. It indicates how quickly the velocity of an object is changing at that instant. It is typically calculated as the derivative of velocity with respect to time.
That is called the instantaneous speed.
Instantaneous velocity is the rate at which an object is moving in a uniform direction, distance per unit time, at any given instant in time. instantaneous acceleration is the rate at which an object's velocity is changing at any given instant in time