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  • 22-08-2021
  • Mathematics
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A car initially traveling at 20 kilometers per hour takes 10 seconds to speed up to 70 km/hour. At what rate is it changing speed?

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Аноним Аноним
  • 22-08-2021
  • Initial velocity=u=20km/h
  • Final velocity=v=70km/h
  • Time=10s=t

Convert speeds to m/s

[tex]\\ \rm\longmapsto u=20\times\dfrac{5}{18}=5.05m/s[/tex]

[tex]\\ \rm\longmapsto v=70\times \dfrac{5}{18}=19.4m/s[/tex]

[tex]\boxed{\sf Acceleration=\dfrac{v-u}{t}}[/tex]

[tex]\\ \rm\longmapsto Acceleration=\dfrac{19.4-5.05}{10}[/tex]

[tex]\\ \rm\longmapsto Acceleration=\dfrac{14.3}{10}[/tex]

[tex]\\ \rm\longmapsto Acceleration=143m/s^2[/tex]

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