Initial velocity of a car is 36 km/hr. Find the distance after one min, if it goes with acceleration 2m/s².

[A] 4000 m.
[B] 4200 m.
[C] 4400 m.
[D] 4600 m.​

Respuesta :

Answer:

  • [tex]\bf\pink{4200\:m}[/tex]

Explanation:

Given :-

  • [tex]\sf\red{ Initial \ velocity = 36km/hr = 10m/s}[/tex]
  • [tex]\sf\orange{ Acceleration = 2m/s^{2}}[/tex]
  • [tex]\sf\green{Time = 1\:min = 60\: sec}[/tex]

To Find :-

  • [tex]\sf\blue{Distance \: Travelled}[/tex]

Formula used :-

  • [tex]\sf\purple{s = ut + \dfrac{1}{2} at^{2}}[/tex]

Where,

  • s = [tex]\bold{Distance}[/tex]
  • t = [tex]\bold{Time }[/tex]
  • u = [tex]\bold{ Initial \ velocity}[/tex]
  • a = [tex]\bodl{Acceleration}[/tex]

Solution :-

[tex]\Rightarrow\:\:\rm{s = 10(60) + \dfrac{1}{\cancel{2}} \times \cancel{2} \times (60)^{2}}[/tex]

[tex]\Rightarrow\:\:\rm{s = 600+60\times 60}[/tex]

[tex]\Rightarrow\:\:\rm{s = 600 + 3600}[/tex]

[tex]\Rightarrow\:\:\rm{s = {\bf{\red{4200\:m}}}}[/tex]

  • Hence, [tex]\bf\green{(B)}[/tex] is the correct option
B)4200m. Is the correct answer
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