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4 May, 05:05

3. An automobile accelerates 1.77 m/sover 6.00 s to reach the freeway speed at

the end of an entrance ramp. If the car's final speed is 88.0 km/h, what was its

initial speed when it began accelerating? Express your answer in kilometers per

hour.

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Answers (1)
  1. 4 May, 05:57
    0
    The initial speed of the automobile is 49.84km/hr

    Explanation:

    Given:

    Acceleration, a = 1.77 m/s²

    Time, t = 6s

    Final speed, v = 88 km/h

    v = 88 X 0.278 m/s

    v = 24.464 m/s

    Initial speed, u = ?

    We know,

    v = u + at

    On substituting the value in the formula we get:

    24.464 = u + (1.77 X 6)

    24.464 = u + 10.62

    u = 24.464 - 10.62 m/s

    u = 13.844 m/s

    Converting u = 13.844 m/s to km/hr

    1 m/s = 3.6 km/hr

    13.844 m/s = 13.844 X 3.6 km/hr

    u = 49.84 km/hr

    Therefore, the initial speed of the automobile is 49.84km/hr
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