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P,Q,R and S are the points in a vertical...

P,Q,R and S are the points in a vertical line. It is given that PQ=QR=RS. A particle is released from rest from the point P. particle takes time `t_(PQ),t_(QR)` and `t_(RS)` to cover three equal distance, respectively. Find ratio `t_(PQ):t_(QR):t_(RS)`

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To solve the problem, we need to find the ratio of the times taken by a particle to cover three equal distances (PQ, QR, and RS) when released from rest. Let's denote the distance between each pair of points (PQ, QR, RS) as \( x \). ### Step-by-Step Solution: 1. **Understanding the Motion**: The particle is released from rest, which means its initial velocity \( u = 0 \). The distance covered in each segment is equal, \( PQ = QR = RS = x \). 2. **Using the Equation of Motion**: ...
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