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Two bodies are projected at angles θ and (90 ∘ −θ) to the horizontal with the same speed. The ratio of their times of flight is

Question

Two bodies are projected at angles θ and (90 ∘ −θ) to the horizontal with the same speed. The ratio of their times of flight is

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Solution

The time of flight for a projectile is given by the formula T = 2u sinθ / g, where u is the initial velocity, θ is the angle of projection, and g is the acceleration due to gravity.

Let's denote the time of flight for the first body as T1 and for the second body as T2.

T1 = 2u sinθ / g T2 = 2u sin

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