Practice portal › Motion in a Plane › Projectile Motion: Range, Height and Time of Flight

The angle of projection of a particle is measured from the vertical axis as φ and the maximum height reached by the particle is hₘ. Here hₘ as function of φ can be presented as (see the figure)

Asked in JEE Main 3rd April 1st Shift 2025 · Maximum height

• (1) Graph (a)
• (2) Graph (b)
• (3) Graph (c)
• (4) Graph (d)

Step-by-step solution

Why the other options are wrong

• (1) Starts from zero at φ = 0; a vertical throw (φ = 0) gives the greatest height, not zero.
• (2) Falls with a concave-up tail; cos²φ starts flat at its maximum and ends flat at zero.
• (3) Rises with φ; the height falls as the throw tilts away from the vertical.

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