Two boys simultaneously fire at a bird on a tower. The first shoots at 40 m/s at 30° elevation; the second stands nearer the tower and shoots at 32 m/s. For both shots to hit the bird simultaneously,

Question

Two boys simultaneously fire at a bird on a tower. The first shoots at 40 m/s at 30° elevation; the second stands nearer the tower and shoots at 32 m/s. For both shots to hit the bird simultaneously, the second boy's angle of projection must be:

TestHub · Accepted Answer

Equal height at equal time: 40 sin 3 0 ∘ = 32 sin θ , so sin θ = 32 20 ​ = 8 5 ​ , θ = sin − 1 8 5 ​ = 38. 7 ∘ .

Physics - Kinematics Question with Solution | TestHub

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