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A particle P is initially at a distance ...

A particle `P` is initially at a distance `c'=16m` from a fixed point `O`. The particle `P` moves with a velocity `vecv=5overset(^^)(PO)+3hati`. Where `overset(^^)(PO)` is a unit vector from `P` to `O` at any time `t`. Initially `overset(^^)(PO)` is perpendicular to `hati`. Find the time in seconds after which point `P` meets point `O`.

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To solve the problem, we need to analyze the motion of the particle `P` as it moves towards the fixed point `O`. Let's break down the steps to find the time after which point `P` meets point `O`. ### Step-by-Step Solution: 1. **Understanding the Initial Setup**: - The particle `P` is initially at a distance of `c' = 16 m` from point `O`. - The velocity of the particle is given by: \[ ...
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