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A child is playing with a toy car, and it accelerates to the south from 1.2m/s to 6.3m/s. if the toy car's acceleration is 2.75m/s2, what is the amount of time that the child takes to accelerate the car? Show all your work.

Respuesta :

cjrodriguez89

Answer:

t = 1.9 s

Explanation:

  • By definition, acceleration is the rate of change of velocity with respect to time, which can be expressed as follows:

        [tex]a = \frac{v_{f} -v_{o} }{t_{f} - t_{o} } (1)[/tex]

  • If we choose t₀ =0, ⇒ tif = t
  • Rearranging in (1), we get:

       [tex]v_{f} = v_{o} + a*t (2)[/tex]

  • Solving (2) for t:

        [tex]t =\frac{v_{f}-v_{o}}{a} (3)[/tex]

  • Replacing by the givens in (3):

       vf = 6.3 m/s

       v₀ = 1.2 m/s

        a = 2.75 m/s²

        [tex]t =\frac{v_{f}-v_{o}}{a} = t =\frac{6.3m/s-1.2m/s}{2.75m/s2} = 1.9 s (4)[/tex]

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