Lesson 4, Topic 5
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# Speed, Velocity & Acceleration

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### Topic Content:

• Definition of Speed
• Definition of Velocity
• Definition of Acceleration

### What is Speed?

Speed is the distance covered per time taken or the rate of change of distance. It is a scalar quantity and measured in km per hour or metre per second (m/s or $$\scriptsize ms^{-1}$$).

Speed =  $$\frac {distance}{time}$$

Average Speed =   $$\frac{Total \: distance \:covered}{total\:time\: taken}$$

Uniform Speed: A body is said to move with uniform speed if the time rate of change in distance is constant.

Speed in  $$\frac {km}{hr}$$or km/hr can easily be converted to m/s or ms-1.

This is achieved as follows:

Speed =   $$\frac {distance \: in \: km}{time\: in\: hour} = \frac {1km}{1hr}$$

But 1 km = 1000 m, 1 hr = 3600s

Therefore, To convert km/hr to m/s, the conversion factor is

â‡’ $$\frac {1000}{3600} \scriptsize \: \times \: (Speed \: in \: km/h)\; = \: Speed\: in\: ms^{-1}$$

### Example 4.5.1:

(i) Convert 36 $$\frac {km}{hr}$$  to ms-1

Solution:  $$\frac {1000}{3600}\scriptsize \times 36 \\ \scriptsize = 10 \: ms^{-1}$$

(ii) Convert 72 $$\frac {km}{hr}$$  to ms-1

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#### Responses

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