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A ball is thrown at different angles wit...

A ball is thrown at different angles with the same speed `u` and from the same points and it has same range in both the cases. If `y_1 and y_2` be the heights attained in the two cases, then find the value of `y_1 + y_2`.

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To solve the problem, we need to find the sum of the maximum heights attained by a ball thrown at two different angles with the same initial speed `u`, given that the ranges of the two throws are equal. ### Step-by-Step Solution: 1. **Understanding the Angles**: Since the ranges are the same, the angles of projection must be complementary. Let's denote the first angle as \( \theta_1 = \theta \) and the second angle as \( \theta_2 = 90^\circ - \theta \). 2. **Formula for Maximum Height**: ...
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