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a car travels at 50 m/s for first 20 seconds , 30 m/s for next 30 seconds and finally 20 m/s for next 10 seconds . find its average speed

Sagot :

The average speed traveled by car is [tex]35m/s[/tex].

[tex]1^{st}[/tex] case

  • Speed[tex]=50m/s\\[/tex]
  • Time [tex]=20s[/tex]

       Distance [tex]=[/tex] [tex]speed*time= 50*20=1000m[/tex]

[tex]2^{nd}[/tex] case

  • Speed[tex]=30m/s[/tex]
  • Time[tex]=30s[/tex]

       Distance[tex]=30*30=900m[/tex]

[tex]3^{rd}[/tex] case

  • Speed[tex]=20m/s[/tex]
  • Time[tex]=10s[/tex]

       Distance[tex]=20*10=200m[/tex]

Now, The total distance[tex]=(1000+900+200)m=2100m[/tex]

        Total time[tex]=(20+30+10)s=60s[/tex]

       Average distance [tex]=\frac{total distance}{total time} = \frac{2100}{60}=35m/s[/tex]

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