A projectile is fired from the origin with velocity u = same instant a target is...

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A projectile is fired from the origin with velocity u = same instant a target is released from rest at the point (X, Y). Assume that g is constant and neglect air resistance. (u1, uz) at time t 0. At the (a) Show that the condition for the particles to collide is tan 0 = Y/X, (1) where 0 is the angle of projection. (b) Determine the value of the initial speed u for which the collision occurs 1. at 'ground level' (y = 0), and 2. at the apex of the projectile's trajectory (y = H). %3D A projectile is fired from the origin with velocity u = same instant a target is released from rest at the point (X, Y). Assume that g is constant and neglect air resistance. (u1, uz) at time t 0. At the (a) Show that the condition for the particles to collide is tan 0 = Y/X, (1) where 0 is the angle of projection. (b) Determine the value of the initial speed u for which the collision occurs 1. at 'ground level' (y = 0), and 2. at the apex of the projectile's trajectory (y = H). %3D