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A race car slows with an average acceleration of –8.0 m/s2 (negative sign shows deceleration). The car’s initial velocity is 100.0 m/s, how far does it travel in 12.0 seconds? Explain how you arrived at your answer?
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Question: A race car slows with an average acceleration of –8.0 m/s2 (negative sign shows deceleration). The car’s initial velocity is 100.0 m/s, how far does i class=

Answer :

Corsaquix

Answer:

[tex]624\:\mathrm{m}[/tex]

Explanation:

We can use kinematics equation [tex]\Delta x =v_it+\frac{1}{2}at^2[/tex].

What we're given:

  • [tex]v_i[/tex] of 100.0 m/s
  • [tex]t[/tex] of 12 s
  • [tex]a[/tex] of -8.0 [tex]\mathrm{m/s^2}[/tex]

Solving for [tex]\Delta x[/tex]:

[tex]\Delta x=100\cdot 12+\frac{1}{2}\cdot -8\cdot 12^2=\boxed{624\:\mathrm{m}}[/tex]

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