Lesson 2, Topic 1
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# Speed, Velocity & Acceleration (Equations of Motion)

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### Topic Content:

• Derivation of Equations of Motion
• Derivation of First Equation of Motion
• Derivation of Second Equation of Motion
• Derivation of Third Equation of Motion

Speed is defined as the distance moved per time taken. It is a scalar quantity i.e. it has only magnitude no direction.

Speed = $$\frac{distance \: moved}{time \: taken}\\ =\frac{kilometre}{hour}$$

Its unit is Kmh-1 or ms-1

Velocity is the time rate of increase displacement. It is a vector quantity. It is measured in ms-1.

v = $$\frac{increase \: in \: displacement}{time }$$

Acceleration is the time rate of increase velocity. It is a vector quantity and its unit is ms-2.

a = $$\frac{increase \: in \: velocity}{time }$$

a = $$\frac{v \:- \:u}{t}$$

v = Final velocity

u = Initial velocity

t = time in seconds

Retardation is the time rate of decrease in velocity. It is a vector quantity and measured in ms-2.

a = $$\frac{v\: -\: u}{t}$$, when u > v

### Derivation of Equations of Motion:

Derivation of First Equation of Motion:

Suppose a body is moving with uniform acceleration, a, and increase in velocity, v, in time, t, in seconds.

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