Wiki User
∙ 13y agoInstantaneous 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.
Wiki User
∙ 13y agoThe 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.
Yes, that's correct. Instantaneous speed at an instant refers to the rate at which an object is moving at that specific moment, while the magnitude of instantaneous velocity at that instant includes both speed and direction. The magnitude of the instantaneous velocity vector represents the instantaneous speed.
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.
The instantaneous velocity is equal to the average velocity when the object is moving at a constant speed in a straight line.
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.
Instantaneous velocity represents the rate of change of an object's position at a specific moment in time, while instantaneous acceleration represents the rate of change of an object's velocity at a specific moment in time. In other words, velocity measures how fast an object is moving, while acceleration measures how fast the object's velocity is changing.
That is called the instantaneous speed.