Q:
# How do you find the average velocity in calculus?

**Average velocity is the result of dividing the distance an object travels by the time it takes to travel that far.** The formula for calculating average velocity is therefore: final position - initial position/final time - original time, or [d(1) - d(0)]/[t(1) - t(0)]. Average velocity is expressed as a ratio, such as “miles per hour,” of distance displaced to time in motion.

Credit:
Daniel Milchev
Stone
Getty Images

Using the formula for average velocity, it's possible to find the distance displaced by subtracting the object’s final position from its starting position (d(1) - d(0)). Then, a person calculates the time it took to travel from the given points (t(1) - t(2)). It's important to use the data given and plug them into the appropriate slots within the formula for average velocity. The answer needs to be labeled in units of distance traveled over units of time traveled.

The formula for average velocity changes if the object’s velocity alters during travel. When an object changes its velocity at different instances, the average velocity is the sum of velocities at different points divided by the number of points or instances.

The velocity of an object refers to the change in displacement over the change in time. Displacement and velocity are both vector quantities with both direction and magnitude.

The relationship between speed and velocity is similar to the relationship between distance and displacement. Displacement refers to the shortest path between two points. Velocity is therefore distinct from speed because it does not account for the distance traveled but rather for distance displaced in a straight line between two points.

Learn more about Calculus-
Q:
## What did Sir Isaac Newton do with math?

A: Newton was one of two people credited with the creation of calculus, but even though he developed his ideas first, he did not get them printed first. A Ger... Full Answer >Filed Under: -
Q:
## What are critical points in calculus?

A: In calculus, critical points or stationary points are any values of differentiable functions of complex or real variables whose derivative is 0, f(x0) = 0.... Full Answer >Filed Under: -
Q:
## What is precalculus?

A: Precalculus is a course that prepares students for calculus classes. Advanced ability with functions, analytic geometry, function representations, algebrai... Full Answer >Filed Under: -
Q:
## What is the average rate of change in calculus?

A: The average rate of change in calculus refers to the slope of a secant line that connects two points. In calculus, this equation often involves functions, ... Full Answer >Filed Under: