For a fixed initial speed, the maximum height reached by a projectile is proportional to the square of the sine of the launch angle ($H = \frac{v_0^2 \sin^2\theta}{2g}$). This means that as the launch angle increases from 0 to 90 degrees, the maximum height increases.
[Diagram shown in original text] A boy standing at the point ‘O’ in the given diagram, throws a ball three times with the same force, but projecting it along different inclinations from the ground. The results of the throws have been plotted in the diagram. Which one of the following is a valid conclusion?
Asked in UPPCS Prelims 1997 · Topic: Motion under Gravity (Range, maximum height, and time of flight for angled projectile motion)
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Answer: D. The larger the initial inclination, the greater the height reached
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