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28 December, 05:14

What is the average acceleration of a car that is initially at rest at a stoplight and then accelerates to 24 m/s in 9.4 s?

A.

0.39 m/s2

B.

2.6 m/s2

C.

5.2 m/s2

D.

8.2 m/s2

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Answers (1)
  1. 28 December, 07:18
    0
    B) a = 2.6 m/s²

    Explanation:

    Conceptual analysis:

    Because the car moves with uniformly accelerated movement, we apply the following formula:

    vf = v₀+a*t Formula (1)

    Where:

    t : time in seconds (s)

    v₀: initial speed in m/s

    vf: final speed in m/s

    a: acceleration in m/s²

    Known Data

    v₀=0

    vf = 24 m/s

    t = 9.4

    Development problem

    We replace the data in the formula (1)

    vf = v₀+a*t

    24 m/s = 0 + a*9.4s

    a = (24 m/s) / (9.4s)

    a = 2.6 m/s²
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