Average Speed


 
 
Concept Explanation
 

Average Speed

Average Speed

Average speed of an object in a time interval is equal to the total distance travelled divided by the total time taken. 

Average;Speed (s_{avg}) = frac{Total; Distance; travelled}{ Total; time; taken}

Different units of speed: The SI unit of speed is meter per second. Another commonly used is kilometer per hour. When we talk about speed of aeroplanes and cars, it would be more appropriate to use km/h than m/s.

  Let us take an example to understand this concept :

Illustration 1: In traveling  form Pune to Nagpur, Rahul drove his bike for 2 hours at the speed 6 kmph and 3 hours at 70 kmph. Find his average speed

Solution We know that,

Distance = Speed x Time 

So, in 2 hours, distance covered = 2 x 60 = 120 km

In the next 3 hours, distance covered = 3 x 70 = 210 km

Total distance covered = 120 + 210 = 330 km

Total time  =  2 + 3 = 5 hrs

Average;Speed (s_{avg}) = frac{Total; Distance; travelled}{ Total; time; taken}

Average speed :

 frac{330}{5} :=:66:kmph

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Sample Questions
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Question : 1

A train travels between two stations 'P' and 'Q' . it travels with a velocity 20 km h^{-1} from P to Q and returns to station P with a velocity 30 km h^{-1} . The average speed for the total journey.

Right Option : C
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Explanation
Question : 2

A body moving in a straight line covers half the distance with speed of 3 m/s. The other half of the distance is covered in two equal time intervals with speed of 4.5 m/s and 7.5 m/s respectively. The average speed of the particle during this motion is _____________

Right Option : A
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Explanation
Question : 3

Which of the following are correct ?

(a) The SI units of speed is m/s.

(b) When we talk about speed of aeroplanes and cars, it would be more appropriate to use km/h than m/s.

Right Option : C
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Explanation
 
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