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A particle is released from rest from a tower of height 3h the ratio of the intervals of time to cover three equal heights age is |
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Answer» Answer: Explanation: we know that s = ut + (1/2)at2
here u = 0 a = g
now for the first case, the TOTAL distance travelled in the 1second
s1 = (1/2)gt12
similarly the distance travelled after 2 ad 3 seconds respectively s2 = (1/2).g.(t1 + t2)2 s3 = (1/2).g.(t1 + t2 + t3)2
so, the ratio of the height will be s1 : s2 : s3 = 1 : 2 : 3 = t12 : (t1 + t2)2 : (t1 + t2 + t3)2 or t1 : (t1 + t2) : (t1 + t2 + t3) = 1 : √2 : √3
thus, we GET (t1 : t2 : t3) = 1 : (√2 1) : (√3 √2 |
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