two boys are standing at the ends A and B of a ground where a b is equal to a the boy at be a star shining in a direction perpendicular to a b with velocity V1 the boy at a starting running simultaneously with velocity v and catches the other boy in a time t, where t is
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t =
Explanation:
Distance covered by boy A in time t ⇒ AC = Vt
Distance covered by boy B in time t ⇒ BC = V₁t
Using Pythagoras Theorem :
⇒ AC² = AB² + BC²
⇒ (Vt)² = a² + (V₁t)²
⇒ a² = V²t² - V₁²t²
⇒ a² = t²(V²-V₁²)
⇒ t² = a²/ (V²-V₁²)
∴ t =
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