Step-by-Step Approach:

1. Read carefully — identify given quantities, what is asked, and whether motion is 1D or 2D.
2. Draw a diagram — mark axes, initial position, direction of motion, and forces.
3. Choose sign convention — stick with it throughout.
4. Check if acceleration is constant — if yes, use SUVAT; if no, use calculus.
5. For projectile problems — decompose into horizontal and vertical; solve independently.
6. List known and unknown — identify which equation connects them.
7. Solve algebraically first — substitute numbers at the end.
8. Check units and dimensions — every answer must have correct units.
9. Verify reasonableness — is the answer physically sensible?

Time-Saving Tips for JEE:

• For complementary angles: R is same, H ratio = $tan^2$(theta)
• At 45 degrees: R = $u^2$/g, H = u^$\frac{2}{4g}$, H/R = 1/4
• Distance in nth second from rest: proportional to (2n-1)
• Equal distance average speed: harmonic mean
• KE at top of projectile: E*$cos^2$(theta)
• Speed at impact from height h: sqrt($u^2$ + 2gh) regardless of direction