##### Like what you saw?

##### Create FREE Account and:

- Watch all FREE content in 21 subjects(388 videos for 23 hours)
- FREE advice on how to get better grades at school from an expert
- Attend and watch FREE live webinar on useful topics

# Instantaneous Velocity

###### Matt Jones

###### Matt Jones

**M.Ed., George Washington University**

Dept. chair at a high school

Matt is currently the department chair at a high school in San Francisco. In his spare time, Matt enjoys spending time outdoors with his wife and two kids.

**Instantaneous velocity** is the velocity of an object in motion at a specific point in time. This is determined similarly to average velocity, but we narrow the period of time so that it approaches zero. If an object has a standard velocity over a period of time, its average and **instantaneous velocities** may be the same. The formula for **instantaneous velocity** is *the limit as t approaches zero of the change in d over the change in t*.

Let's talk about instantaneous velocity. Instantaneous velocity is the change in distance over the change in time. You may recognize it as 100 kilometers an hour it's what you see on your odometer or your speedometer when you're driving okay? Example let's say I get in my car and I set the cruise control for 50 kilometers an hour and I drive for an hour, well my instantaneous velocity that whole time using my cruise control is 50 kilometers an hour okay? Again since we said in velocities we also have to give the direction so I was driving 50 kilometers an hour east okay? Alright now let's say I get my in car and do that same drive but there's a lot of traffic and I'm trying to accelerate past cars and I'm turning past cars and I'm braking because I can't get around a car. I still travel that hour in 50 kilometers east so my average velocity is still 50 kilometers an hour east okay? But my instantaneous velocity was always changing when I was accelerating, when I was braking even when I was turning the car because remember velocity direction counts so when I change direction of the car that changed the velocity okay?

Well why is instantaneous velocity so difficult to calculate? Well it's the change in distance over the change in time but we want that time to be as short in interval as possible it's like a snapshot of what your of what your speed was at that one particular second, half second, thousandth of a second right? So to get that change in time to equal 0 we need to use a calculae Calculus formula and it gets a little bit complicated but that's how we calculate instantaneous velocity.

Please enter your name.

Are you sure you want to delete this comment?

###### Matt Jones

M.Ed., George Washington University

Matt is very comfortable in front of the whiteboard and is able to make every topic easy for anyone to digest. His straightforward approach to teaching is very refreshing.

Great teaching, this is exactly the concept i was struggling over for my physics test tomorrow. Thank you!”

This video has a 99 percent probability of being the best video I've ever seen.”

Amazing !!!...I have not seen anybody explaining Quantum Physics so effortlessly......Probably you have understood it better than anybosy else.!!!...This is quite amazing...!!!..Keep up the good work....”

###### Get Peer Support on User Forum

Peer helping is a great way to learn. Join your peers to ask & answer questions and share ideas.

#### Related Topics

- Relativity in Motion 24,078 views
- Displacement 18,244 views
- Average Speed 16,231 views
- Speed-Instantaneous Speed 13,831 views
- Average Velocity 16,355 views
- Acceleration 17,484 views
- Free Fall 17,784 views
- Graphs of Motion 19,818 views
- Vector Direction 13,059 views
- Vector Quantities - Scalar Quantities 16,161 views
- Velocity Vectors 15,721 views
- Components of Vectors 12,628 views
- Projectile Motion 20,932 views
- Linear Motion 17,051 views
- Parabolic Motion 11,720 views

## Comments (1)

Please Sign in or Sign up to add your comment.

## ·

Delete

## Keegan · 10 months, 1 week ago

this is not instantaneous velocity as is labeled here, it is average velocity. Instantaneous velocity is explained in the brightstorm calculus course.