average velocity is the displacement over time while instantaneous velocity refers to the velocity of an object at one point or at as pecific point of time.
*displacement is the difference between the initial position and the final position of an object. (distance 2 - distance 1)
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.
Average acceleration is the average of the accelerations acquired in the whole journey by a body while instantaneous acceleration is the acceleration of the body at any particular instant of time.
Instantaneous velocity is a vector quantity that includes both the speed and direction of an object at a specific moment. Instantaneous speed, on the other hand, is a scalar quantity representing only the magnitude of the velocity without regard to direction.
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
Speed has only size. Velocity has size and direction.If three drivers are driving their cars at 50 mph headed north, 50 mph headed south, and50 mph headed east, their speeds are all equal, but their velocites are all different.Instantaneous speed is the speed at an instant in time. A point on the edge of an LP record hasthe same instantaneous speed whenever you look at it.Instantaneous velocity is the velocity ... speed and direction ... at an instant in time. A point on theedge of an LP record has a different instantaneous velocity every time you look at it. Even thoughthe speed is always the same, the direction keeps changing.
The average velocity over an time interval is the average of the instantaneous velocities for all instants over that period. Conversely, as the time interval is reduced, the average velocity comes closer and closer to the instantaneous velocity.
Velocity is an instantaneous measure. Mathematically, it is the limiting value of the change in the position vector divided by the change in time as the latter tends to zero. Over larger time periods, the average velocity is the total change in the position vector divided by the total change in time. If velocity is constant, the average velocity will be the same as the instantaneous velocity.
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.
Average acceleration is the average of the accelerations acquired in the whole journey by a body while instantaneous acceleration is the acceleration of the body at any particular instant of time.
Instantaneous velocity is a vector quantity that includes both the speed and direction of an object at a specific moment. Instantaneous speed, on the other hand, is a scalar quantity representing only the magnitude of the velocity without regard to direction.
Instantaneous speed is the speed at a particular moment in time.The average speed of an object tells you the (average) rate at which it covers distance
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
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.
Suppose you accelerate in your car from stopped to 50 km.hr-1. When you were stopped your instantaneous speed was zero. At the end of the period of acceleration your instantaneous speed was 50 km.hr-1. If your rate of acceleration was constant then your average speed was 25 km.hr-1.
Speed has only size. Velocity has size and direction.If three drivers are driving their cars at 50 mph headed north, 50 mph headed south, and50 mph headed east, their speeds are all equal, but their velocites are all different.Instantaneous speed is the speed at an instant in time. A point on the edge of an LP record hasthe same instantaneous speed whenever you look at it.Instantaneous velocity is the velocity ... speed and direction ... at an instant in time. A point on theedge of an LP record has a different instantaneous velocity every time you look at it. Even thoughthe speed is always the same, the direction keeps changing.
Average or instantaneous? The average is the height divided by the horizontal distance, whereas the instantaneous alternates between zero and infinity.
Depends. Slope of tangent = instantaneous rate of change. Slope of secant = average rate of change.