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8 March, 12:57

Marques drops a plate from a height of 5 feet. When will the plate hit the ground?

A. about 1 second/s

B. about 5 second/s

C. about 0.33 second/s

D. about 0.56 second/s

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Answers (1)
  1. 8 March, 14:38
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    Option A. about 1 seconds

    Step-by-step explanation:

    Let the initial speed u and the final speed v

    Time t, distance s and acceleration of gravity g

    The equation of motion are:

    v = u + gt ⇒ (1)

    s = ut + 0.5 gt² ⇒ (2)

    v² = u² + 2gs ⇒ (3)

    Marques drops a plate from a height of 5 feet.

    So, u = 0, s = 5 ft, g = 9.8 m/sec²

    Substitute at (2)

    s = ut + 0.5 gt²

    5 = 0 * t + 0.5 * 10 * t²

    ∴ t² = 5 / (0.5*9.8) = 1.02

    ∴ t = √1.02 = 1.01 seconds ≈ 1 seconds (to the nearest integer)

    The answer is option A. about 1 seconds
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