# What is the relationship between distance average speed and time

### Speed & Velocity – The Physics Hypertextbook

So now you can calculate the distance if you know the average speed and the total time the journey takes. But you can also think of the relationship between. Relationship between distance traveled and speed Main Concept The the faster the car goes, the farther it goes in a given time period, and vice-versa. This is one of the essential differences between speed and velocity. Speed is a . The average speed is the distance (a scalar quantity) per time ratio. Speed is.

Average velocity equals speed in a direction. Formula for Speed Speed refers to distance traveled during a period of time. The commonly used formula for speed calculates average speed rather than instantaneous speed. The average speed calculation shows the average speed of the entire journey, but instantaneous speed shows the speed at any given moment of the journey. A vehicle's speedometer shows instantaneous speed. Average speed can be found using the total distance travelled, usually abbreviated as d, divided by the total time required to travel that distance, usually abbreviated as t.

Sciencing Video Vault Instantaneous speed actually is a velocity calculation that will be discussed in the velocity section. Units of speed show length or distance over time. Formula for Velocity Velocity is a vector value, meaning that velocity includes direction. Velocity equals distance traveled divided by time of travel the speed plus the direction of travel. For example, the velocity of a train traveling 1, kilometers eastward from San Francisco in 12 hours would be 1, km divided by 12 hr east, or kph east.

Going back to the problem of the car's speed, consider two cars starting from the same point and traveling at the same average speed of 50 miles per hour. If one car travels north and the other car travels west, the cars do not end up in the same place.

The velocity of the northbound car would be 50 mph north, and the velocity of the westbound car would be 50 mph west. Their velocities are different even though their speeds are the same. Instantaneous velocity, to be completely accurate, requires calculus to evaluate because to approach "instantaneous" requires reducing the time to zero. By setting the change of time as a very short period of time, a nearly instantaneous velocity can be calculated.

For example, if a moving train has travelled 55 km east at 5: The instantaneous velocity would be 10 kph east, read on the engine's speedometer as 10 kph.

Of course, an hour isn't "instantaneous," but it serves for an example. If an object is moving downwards, then its velocity is described as being downwards.

### Relationship between distance traveled and speed - Maple Programming Help

Note that speed has no direction it is a scalar and the velocity at any instant is simply the speed value with a direction. Calculating Average Speed and Average Velocity As an object moves, it often undergoes changes in speed. For example, during an average trip to school, there are many changes in speed. Rather than the speed-o-meter maintaining a steady reading, the needle constantly moves up and down to reflect the stopping and starting and the accelerating and decelerating.

## Speed & Velocity

The average speed during an entire motion can be thought of as the average of all speedometer readings. If the speedometer readings could be collected at 1-second intervals or 0. Now that would be a lot of work. And fortunately, there is a shortcut. The average speed during the course of a motion is often computed using the following formula: In contrast, the average velocity is often computed using this formula Let's begin implementing our understanding of these formulas with the following problem: While on vacation, Lisa Carr traveled a total distance of miles.

Her trip took 8 hours. What was her average speed? To compute her average speed, we simply divide the distance of travel by the time of travel. Lisa Carr averaged a speed of 55 miles per hour. Yet, she averaged a speed of 55 miles per hour.

The above formula represents a shortcut method of determining the average speed of an object. Average Speed versus Instantaneous Speed Since a moving object often changes its speed during its motion, it is common to distinguish between the average speed and the instantaneous speed. The distinction is as follows. Instantaneous Speed - the speed at any given instant in time. You might think of the instantaneous speed as the speed that the speedometer reads at any given instant in time and the average speed as the average of all the speedometer readings during the course of the trip.

• The relationship between Distance, Speed and Time
• Distance Speed Time Formula
• Speed and Velocity

Moving objects don't always travel with erratic and changing speeds. Occasionally, an object will move at a steady rate with a constant speed.

## Speed, distance and time

That is, the object will cover the same distance every regular interval of time. If her speed is constant, then the distance traveled every second is the same. The runner would cover a distance of 6 meters every second. If we could measure her position distance from an arbitrary starting point each second, then we would note that the position would be changing by 6 meters each second. This would be in stark contrast to an object that is changing its speed. An object with a changing speed would be moving a different distance each second.

The data tables below depict objects with constant and changing speed.

Now let's consider the motion of that physics teacher again.