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While driving her new Camaro at 20.0 m/s down a four-lane highway, Jessica comes up behind a slow-moving dump truck and decides to pass in the left-hand lane.

If Jessica can accelerate at a rate of 5.0 m/s^2, how long will it take for her to reach a speed of 30.0 m/s?

( I need as much detail as possible, I am completely lost please explain)

  • Physics -

    To go from 20.0 to 30.0 m/s, that is a velocity change of 10.0 m/s.

    From the definition of acceleration,
    a = (velocity change)/(time required)

    In this case you know that a = 5.0 m/s^2, so

    time = (10.0 m/s)/(5.0 m/s^2)
    = 2.0 seconds

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