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Find the ratio of the distances travelle...

Find the ratio of the distances travelled by a freely falling body in first, second and third second of its fall.

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To find the ratio of the distances traveled by a freely falling body in the first, second, and third seconds of its fall, we can follow these steps: ### Step 1: Understand the motion of the freely falling body A freely falling body starts from rest, which means its initial velocity (u) is 0. The acceleration (a) due to gravity is denoted as \( g \). ### Step 2: Use the formula for distance traveled in nth second The distance traveled by a freely falling body in the nth second is given by the formula: \[ ...
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Knowledge Check

  • The distance travelled by a body falling from reset in the frist, second and third seconds are in the ratio

    A
    `1 : 2 : 3`
    B
    `1 : 3: 5`
    C
    `1 : 4: 9 `
    D
    none of the above

  • The distances covered by a freely falling body in its first, second, third, ……, b^(th) seconds of its motion a)forms an arithmetic progression b) forms a geometric progression c) do not form any well defined series d) form a series corresponding to the difference of square root of the successive natural numbers.

    A
    forms an arithematic progression
    B
    forms a geometric progression
    C
    do not form any well defined series
    D
    form a series corresponding to the difference of square root of the successive natural numbers.

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