A ball of mass is thrown vertically upward. Another ball of mass is thrown an angle with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by t

Question

A ball of mass  is thrown vertically upward. Another ball of mass  is thrown an angle  with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the two balls respectively is . The value of  is .

Canvas Classes · Accepted Answer

🧠 Same Air Time Means Same Vertical Speed — Heights Must Match

Read the question carefully. Ball 1 is thrown straight up (mass ). Ball 2 is thrown at angle  from the vertical (mass ). They stay in air for the same total time. Find the ratio of their max heights.

The first thing to notice: the time a body stays in the air depends only on its vertical launch speed (under gravity alone). Mass plays no role — that is just there to trick you. So if both balls stay in air for the same time, their i

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