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Let A, B and C be points in a vertical l...

Let A, B and C be points in a vertical line at height h, `(4h)/(5) and (h)/(5) ` and from the ground. A particle released from rest from the point A reaches the ground in time T. The time taken by the particle to go from B to C is ` T_(BC) ` . Then ` (T)/(T_(BC)) ^(2) = `

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To solve the problem, we will follow these steps: ### Step 1: Determine the time \( T \) taken by the particle to fall from point A to the ground. The height from point A to the ground is \( h \). The particle is released from rest, so its initial velocity \( u = 0 \). Using the equation of motion: \[ s = ut + \frac{1}{2} a t^2 ...
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