Q: What is instantaneous velocity in math?

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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.

Yes, the average velocity of the body can be same as the instantaneous velocity at a small time interval.The values of the average and the instantaneous velocities approach each other , as the length of time interval is decreased.

Generally it is a Yes. Instantaneous velocity is the exact velocity at a particular time in the course of the movement. However, average velocity is the average of all the instantaneous velocity over a period of time. It is also known as speed in everyday life. As a result, the movement of an object over a time period under varying velocity denotes a varying instantaneous velocity which could be different from the average velocity. It is however, possible that the instantaneous velocity equates to the average velocity at a certain point over the duration of movement. For example, a ball is traveling at instantaneous velocity of 99m/s at t=1s , 100m/s at t=2s and 101m/s at t=3s. the average velocity over the 3s period is hence 100m/s which coincides with the instantaneous speed at t=2s.

When the length of the time is decreased more and more ,average velocity of the particles equals instantaneous velocity.

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.

Related questions

Instantaneous velocity is the velocity in difference displacement in shortest time or specific time interval.

Instantaneous.

The instantaneous velocity is equal to the average velocity when the object is moving at a constant speed in a straight line.

v(t) = dsdt This should be the formula for instantaneous velocity.

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.

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 and average velocity are not the same. Instantaneous velocity is the velocity at a specific moment in time, while average velocity is the total displacement over a given time interval. In general, they will not have the same value unless the motion is at a constant velocity.

Yes, the average velocity of the body can be same as the instantaneous velocity at a small time interval.The values of the average and the instantaneous velocities approach each other , as the length of time interval is decreased.

At a given moment in time, instantaneous speed can be thought of as the magnitude of the instantaneous velocity of an object. Instantaneous velocity is the rate of change of an object's position at that specific moment in time.

Generally it is a Yes. Instantaneous velocity is the exact velocity at a particular time in the course of the movement. However, average velocity is the average of all the instantaneous velocity over a period of time. It is also known as speed in everyday life. As a result, the movement of an object over a time period under varying velocity denotes a varying instantaneous velocity which could be different from the average velocity. It is however, possible that the instantaneous velocity equates to the average velocity at a certain point over the duration of movement. For example, a ball is traveling at instantaneous velocity of 99m/s at t=1s , 100m/s at t=2s and 101m/s at t=3s. the average velocity over the 3s period is hence 100m/s which coincides with the instantaneous speed at t=2s.

No, if the instantaneous velocity of an object remains constant, then its instantaneous speed cannot change. Velocity is a vector quantity that includes both speed and direction. If the velocity is constant, it means both the speed and direction are constant.

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.