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)
Average velocity is simply displacement over time. Instantaneous velocity is the velocity at any given instant, or the displacement over an infinitely small amount of time.
Speed, instantaneous or not, is a term used for how fast an object travels. Velocity, instantaneous or not, is a term used for how fast an object travels in a particular 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
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.
Instantaneous speed is speed measured at a specific time. Speed is an average.
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.
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.
Speed, instantaneous or not, is a term used for how fast an object travels. Velocity, instantaneous or not, is a term used for how fast an object travels in a particular 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
Instantaneous speed is speed measured at a specific time. Speed is an average.
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.
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
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.
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 speed:- It is the rate of change of position with respect to time,at that instant. Average speed:-Average speed is defined as the total path length travelled divided by the total time interval.
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.
Average or instantaneous? The average is the height divided by the horizontal distance, whereas the instantaneous alternates between zero and infinity.