Cosmo-style logic flow

An AI tutor that teaches through analysis, formula, calculation, and result.

The tutoring engine is organized to avoid dumping final answers. Students move through a reasoning path, visual explanations, checkpoints, and controlled hints that can later connect to OpenAI-backed responses.

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Why this matters

Students should not just see answers. They should see how an answer is built.

This website is structured around performance analytics, adaptive practice, and AI tutoring that breaks problems into analysis, formula, calculation, and result.

Projectile motion

AI Tutor Breakdown

A projectile is launched with speed u at an angle theta. Find the time of flight and horizontal range.

T = \frac{2u\sin\theta}{g}, \quad R = \frac{u^2\sin 2\theta}{g}

Formula board

The tutor keeps a clean LaTeX-ready formula pane for every concept.

JEE Main

T = \frac{2u\sin\theta}{g}, \quad R = \frac{u^2\sin 2\theta}{g}

Hint-by-hint coach

Tutor cue 1

Think about which velocity component gravity actually changes.

Step-by-step logic

Analysis to result, with the current step highlighted.

1/4

Multi-modal explainers

3D vector cue

Show horizontal and vertical velocity components separately with a launch triangle.

Time symmetry card

Explain why ascent time equals descent time for same launch and landing height.

Formula flip view

Move from component notation to the compact sin 2 theta form.

Learning checkpoints

Can you identify ux and uy without help?

Can you derive time of flight from the vertical component?

Can you convert 2 sin theta cos theta into sin 2 theta?