Velocity Formula

What is Velocity?

Velocity is the rate of change in displacement with respect to time, or how long it takes an object to travel in a straight line from its origin to its destination.

The variation in the object which is displaced with reference to time is known as velocity or how long does it take a thing to move in a straight path from point A to point B. It refers to the pace of change in displacement over time. If there is no displacement in the item’s position and the item doesn’t really travel any distances, there will be no velocity.

Initial and Final Velocity: Initial velocity describes how rapidly an item travels while gravity first applies pressure to the item.

Formula

The change in displacement of an object over time is referred to as velocity. Simply put, The time it takes for an element to move in a certain direction is measured in velocity. It’s also proportional to distance and inversely related to trip time. The metre per second is also its unit of measurement (m/s).

Velocity: Displacement/Time 

Displacement: final point – initial point or position change

Time: The amount of time it takes to travel a certain distance.

• Let’s look at some examples to see how the formula works. If Mr. X’s initial point is ai and his final point is af, and he travels this distance in t seconds, the equation will be.

v =a / t = (af – ai )/ t

Here

• v stands for velocity, which is measured in m/s (metre per second).
• af = X’s final position
• ai = X’s initial position
• a =change in position (final–initial) (m)
• t = the time it takes the object to travel the distance (in seconds).

Solved Examples

1. Every morning, Jewel rides in her father’s car to school. Her school is 8 kilometres away, and it takes her 15 minutes to get there, but the speedometer on the dashboard of her car always shows a different reading.So, at this point, how would she know her velocity?

So, here’s how to figure out what Jewel’s car’s average speed is: For simplicity’s sake, we’ve assumed the car is moving in a straight line, and we’ll convert all time units to hours. As a result, 15 minutes equals to 0.25 hours.

v = x/t is the average velocity.

8 km/0.25 hours.

v = 32 km/h 

We can now see that, even if the car’s speed varies, if it covers the same amount of distance in the same amount of time, its average velocity remains constant.

2. A girl is walking and she covers a distance of 100 meters in 60 minutes. What is the velocity?

Velocity= speed/time

speed=displacement= 100 meters

Time = 60 minutes

velocity= 100/60 = 0.02m/s