Acceleration is the change in velocity over time. It is a vector quantity.

For example:

Porsche 911 can go from 0-60mph in 3 seconds. Our acceleration would be:

a = change in velocity / time = (60-0)/3 = 20 mph/s

**Airbus A380 take off time and distance required**

Let’s use an example for an Airbus.

The take-off velocity is 280km/hr

Acceleration is 1.0m/s/s or 1.0m/s2 (seconds squared)

*How long does take off last?*

First, we’ll have to do some simple unit conversion.

280km/hr = hour/seconds = 1 hour/3600 seconds

m/km = 1000m/1km

Now we can do our math.

= 280 * 1000 / 3600 = 78m/s

From this, we can see that it will take 78 seconds for take off to last

*How long will the runway need to be in order to complete take off?*

V(avg) = (v(final) + v(initial)) / 2 = 78m/s / 2 = 39m/s

Displacement = velocity * time = 39m/s * 78 seconds = 3042m

Our runway needs to be 3042 meters to take off!

**What are velocity vs time graphs**

The vertical axis represents the velocity of a object.

The slope represents the acceleration of the object. The value of the slope at a particular time represents the acceleration of the object at that instant.

The area underneath the slope represents the displacement of the object. To calculate this, we use a simple area formula: area = base * height.

**What are acceleration vs time graphs**

The vertical axis represents the acceleration of the object. At a particular time, you will get the acceleration of the object in meters per second squared for that moment.

The slope represents a quantity known as the jerk. The jerk is the rate of change of the acceleration.

Jerk = change in acceleration / change in time

The area underneath the slope represents the change in velocity.

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