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Two particles P and Q are projected from...

Two particles P and Q are projected from two points in the same plane as shown. Find the condition for collision of two paricles.

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To find the condition for the collision of two particles P and Q projected from different points in the same plane, we will follow these steps: ### Step 1: Understand the Problem We have two particles, P and Q, projected from two different heights \( h_1 \) and \( h_2 \) with initial velocities \( u_1 \) and \( u_2 \) at angles \( \theta_1 \) and \( \theta_2 \) respectively. We need to determine the condition under which these two particles collide. ### Step 2: Write the Velocity Components For particle P: - The horizontal component of velocity \( V_{P_x} = u_1 \cos(\theta_1) \) ...
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