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Instantaneous speed at an instant is equal to magnitude of instantaneous velocity at that instant Why is it so?
Wiki User
∙ 13y ago
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.
Wiki User
∙ 13y ago
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What is the speed in a single instant of time or a single point on a distance time graph?
The instantaneous speed is the gradient of the graph at that particular point.
What is the distance traveled by an object per unit of time called?
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.
What is the difference between insantaneous speend and average speed?
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.
How does average change help find instant rate of change in math?
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.
4 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 a Sketch an grap?
# 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?
Is how fast velocity is changing at a specific instant?
That's the magnitude of instantaneous acceleration.
What is instantaneous velocity or speed?
It is the speed or velocity at a particular instant.
What's the difference between instantaneous velocity and instantaneous acceleration?
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
When is the instantaneous velocity equal to avg velocity?
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.
The rate at which velocity is changing at a given instant is described by?
The answer is: Instantaneous Acceleration.
What is Speed at a particular instant in time is?
That is called the instantaneous speed.
Define speed at which an object is moving at a given instant time?
If the displacement of the object (its position) can be described as a functional or algebric equation, you can find the instant speed of this object by calculating the derivative of its displacement equation, knowing that speed is the first derivative of position and acceleration, its second.
Consider the instantaneous velocity of a body this velocity is always in the direction of what the net force at that instant the least resistance at that instant or the motion at that instant?
the motion at that instant
What is the correct definition of instantaneous velocity?
The velocity of an object at a particular instant or at a particular point of its path is called instantaneous velocity. In another word, the instantaneous velocity of an object is defined as the limiting value of the average velocity of the object in a small time interval around that instant , when the time interval approaches zero. v = dx/dt , where dx/dt is the differential coefficient of displacement "x" w.r.t. time "t"
Is Average velocity the slope of the line tangent to the curve on a velocity time graph at a specific instant of time?
No, it is instantaneous acceleration.
What does a distance time graph allow you to find?
Besides obviously distance at any instant, on a connected, continuous distance-time graph, you can obtain instantaneous velocity and instantaneous acceleration.
Instantaneous speed at an instant is equal to magnitude of instantaneous velocity at that instant?
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.
