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Physics · MOTION IN A STRAIGHT LINE

हिन्दी

A ball is thrown vertically upwards with an initial speed of \( 30\text{ m s}^{-1} \) under gravity. Taking \( g = 10\text{ m s}^{-2} \), find the ratio of the distances covered by the ball during the 1st, 2nd, and 3rd seconds of its upward journey.

  1. A
    \( 1 : 3 : 5 \)
  2. B
    \( 5 : 3 : 1 \)
  3. C
    \( 1 : 2 : 3 \)
  4. D
    \( 9 : 4 : 1 \)
View Answer & Solution

Correct answer · Option B

\( 5 : 3 : 1 \)

Explanation

Using \( s_n = u - \frac{g}{2}(2n-1) \): for \( n=1 \), \( s_1 = 30 - 5(1) = 25\text{ m} \); for \( n=2 \), \( s_2 = 30 - 5(3) = 15\text{ m} \); for \( n=3 \), \( s_3 = 30 - 5(5) = 5\text{ m} \). The ratio is \( 25 : 15 : 5 = 5 : 3 : 1 \).
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