Middle School

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Zeke's car had an initial velocity of 12 m/sec and slows down to 2 m/sec in 4.5 seconds. What is the acceleration of Zeke's car?

Answer :

Answer:

[tex]a=-2.22m/s^2[/tex]

Explanation:

the information we have is:

initial velocity: [tex]v_{i}=12m/s[/tex]

final velocity: [tex]v_{f}=2m/s[/tex]

and the time: [tex]t=4.5s[/tex]

We need to find the acceleration of the car.

For this we use formula to calculate the acceleration given the information we were given:

[tex]a=\frac{v_{f}-v_{i}}{t}[/tex]

acceleration is equal to the difference between the final velocity and the initial velocity divided by time.

We substitute all the known values:

[tex]a=\frac{2m/s-12m/s}{4.5s}\\ \\a=\frac{-10m/s}{4.5s}\\ \\a=-2.22m/s^2[/tex]

the acceleration is [tex]-2.22m/s^2[/tex]

the result is negative because the car is slowing down.

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