An object takes 4s to reach the ground from a height of 6m on a planet. What is the acceleration due to gravity on earth ?​

Question

An object takes 4s to reach the ground from a height of 6m on a planet. What is the acceleration due to gravity on earth ?​

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Rylee 11 months 2021-06-22T06:25:48+00:00 1 Answers 0 views 0

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    2021-06-22T06:27:11+00:00

    \huge\purple{\underline{\underline{\mathfrak{\red{Answer:-}}}}}

    Given :-

    • Initial velocity (u) = 0m/s
    • Time taken (t) = 4s
    • Height (h) = 6m

    Need To Find :-

    • Acceleration due to gravity (g)

    Applied Formula :-

    \rm{h = ut + \dfrac{1}{2}\times gt^2}

    • h = height
    • u = initial velocity
    • t = time

    Solution :-

    ⠀⠀⠀⠀➜ ⠀h = ut + ½ × gt²

    ⠀⠀⠀⠀➜⠀ 6 = 0 × 4 + ½ × g × 4²

    ⠀⠀⠀⠀➜⠀ 6 = 0 + ½ × g × 16

    ⠀⠀⠀⠀➜⠀ 6 = g × 8

    ⠀⠀⠀⠀➜⠀ 6 = 8g

    ⠀⠀⠀⠀➜⠀ 8g = 6

    ⠀⠀⠀⠀➜⠀ g = ¾

    ⠀⠀⠀⠀➜ ⠀g = 0.75m/s²

    Acceleration due to gravity is 0.75m/s²

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