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A stone is dropped from the …

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A stone is dropped from the top of cliff. It covers a distance of 24.5 in the second of its motion.find the height of the cliff?

  • 2 answers

Payal Singh 6 years, 8 months ago

Distance travelled in last second of journey = 24.5 m 

Applying,

s​​​​​​n{tex}u+{1\over 2}a(2n-1){/tex}

as initial velocity u = 0 and body is under freely Fall so a = g = 9.8 

{tex}24.1 = 0 +{9.8\over 2}(2n-1){/tex}

{tex}=> 5 = 2n-1{/tex}

=> n = 3

It means body was in air for 3 seconds.

Total distance covered in 3 seconds

{tex}s = {1\over 2}gt^2{/tex}

{tex}=> s = {1\over 2}\times 9.8\times 9{/tex}

=> s = 44.1 m

 

Dr Pathikrt Banerjee 6 years, 8 months ago

<pre> (1/2)g((t+1)2-t2)=24.5</pre>

Ans= 44 m

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