Two bodies are thrown at an angle a and b to the horizon from one point. what is the ratio

Two bodies are thrown at an angle a and b to the horizon from one point. what is the ratio of the initial velocities reported to them if they fell in the same places?

Let’s use the formula for finding the distance traveled when moving at an angle to the horizon: s = υ1 ^ 2 * sin (2 * a) / g = υ2 ^ 2 * sin (2 * b) / g. We express from this the ratio of speeds: υ1 / υ2 = √ (sin (2 * b) / sin (2 * a)).
Answer: √ (sin (2 * b) / sin (2 * a))



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