Physics

Physics

Problem

A particle is projected from the origin with an initial velocity vector u⃗=6i^+8j^\vec{u} = 6\hat{i} + 8\hat{j} (units in m/s\text{m/s}). An observer initially at position r⃗=12i^\vec{r} = 12\hat{i} (meters) starts moving with a constant velocity vector v⃗\vec{v}. Find v⃗\vec{v} such that the observer catches the particle when it returns to the ground level (y=0y=0). (Take g=10 m/s2g = 10\,\text{m/s}^{2} in −j^-\hat{j} direction)

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