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Two projectiles are fired with same initial speed from same point on ground at angles of (45° - α) and (45° + α), respectively, with the horizontal direction. The ratio of their maximum heights attained is

Asked in JEE Main 29th Jan 1st Shift 2025 · Maximum height

• (1) (1 - tan α)/(1 + tan α)
• (2) (1 - sin 2α)/(1 + sin 2α)
• (3) (1 + sin α)/(1 - sin α)
• (4) (1 + sin 2α)/(1 - sin 2α)

Step-by-step solution

Why the other options are wrong

• (1) This is the ratio of the flight times, not of the heights (the sines are not squared).
• (3) No single slip gives this.
• (4) Inverted: the smaller angle reaches the lower height.

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