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Q12CQ

Expert-verifiedFound in: Page 79

Book edition
1st Edition

Author(s)
Paul Peter Urone

Pages
1272 pages

ISBN
9781938168000

**How are instantaneous velocity and instantaneous speed related to one another? How do they differ?**

The velocity of the object at an instant is called instantaneous velocity. As the time interval approaches 0, so does the distance traveled. The instantaneous speed is the non-zero limit of the distance-to-time ratio.

**The velocity of an item at a given point in time. The instantaneous velocity is "the velocity of an item in motion at a single point in time."**

**The instantaneous velocity of an item with uniform velocity could be the same as its average velocity.**

Graph showing average and instantaneous velocity.

It's calculated in the same way as average velocity but with a shorter time period. We know that total displacement divided by total time equals average velocity for a particular time span.

The displacement approaches 0 as the time interval approaches zero. However, the ratio of displacement to time has a non-zero limit, which is known as instantaneous velocity.

We know that the entire distance traveled divided by the total time taken equals the average speed for a given time span.

**The distance traveled approaches 0 as the time interval approaches zero.** However, the instantaneous speed is the non-zero limit of the distance-to-time ratio. We may also say that instantaneous speed at any given moment is the magnitude of instantaneous velocity at that time, to put it another way.

Instantaneous speed | Instantaneous velocity |

It is a scalar quantity | It is a vector quantity |

It is only the magnitude of the speed at instants. | It is the value of velocity magnitude as well as the direction of the body at instants. |

Therefore, the instantaneous velocity is the velocity of an item at a specific point in time. The distance traveled decreases as the specified interval of time approaches zero. The non-zero range of the distance-to-time ratio is the instantaneous speed.

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