Answer :

Answer:

acceleration = 0.0625 m/s²

Explanation:

We can find the acceleration needed by the car by using the formula of Linear Motion with Constant Acceleration:

[tex]\boxed{v=v_0+at}[/tex]

where:

  • [tex]v=\text{final velocity}[/tex]
  • [tex]v_0=\text{initial velocity}[/tex]
  • [tex]a=\text{acceleration}[/tex]
  • [tex]t=\text{time}[/tex]

Given:

  • [tex]v_0=10\ m/s[/tex]
  • [tex]v=15\ m/s[/tex]
  • [tex]t=80\ s[/tex]  (I assume there is a typo that 80 m should be 80 s)

Then:

[tex]\begin{aligned}\\v&=v_0+at\\15&=10+a(80)\\80a&=15-10\\a&=5\div80\\a&=\bf0.0625\ m/s^2\end{aligned}[/tex]

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