Acar traveling at 30 m/s starts to decelerate steadily. it comes to a complete stop in 12 seconds. what

Acar traveling at 30 m/s starts to decelerate steadily. it comes to a complete stop in 12 seconds. what is its acceleration?

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  1. Just divide -30 m/s (the change in velocity) by 12 seconds (the time required for the car to come to a stop):

    -30 m/s
    = - 2,5 m / (sec)^2              (answer)
     12 sec

  2. To calculate the acceleration we use the formula,

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

    Here, [tex]v_{f}[/tex] is the final velocity of the car and [tex]v_{i}[/tex] is the initial velocity of the car and t is time .

    Given [tex]v_{i} =30 m/s[/tex] and [tex]t= 9 s[/tex].

    The final velocity [tex]v_{f} =0[/tex] , because car comes to stop.

    Substituting these values in above formula we get,

    [tex]a=\frac{0 m/s-30m/s}{9}[/tex]

    [tex]a=3.3 m/s^{2}[/tex]

    Here, acceleration is negative because car is decelerated.

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