In this video, we solve HC Verma Chapter 3 – Kinematics, Problem 49, one of the most classic and concept-building questions on relative velocity and change of frame.
An airplane must travel from point A to B (500 km apart, 30° east of north).
The wind blows due north at 20 m/s, while the airplane’s airspeed is 150 m/s.
Using vector resolution and the concept of motion relative to air and ground, we determine:
🧩 Problems Covered
(a) What direction should the pilot head to compensate for the wind drift and reach point B exactly?
(b) What is the time taken for the airplane to reach its destination?
🎯 Concepts Explained Clearly
✔️ Relative velocity of airplane w.r.t ground
✔️ Wind–airplane drift correction
✔️ Resolving vectors into perpendicular components
✔️ Finding true velocity of the aircraft
✔️ Using change of frame of reference (ground frame vs air frame)
✔️ Interpreting angles in navigation (east of north, north of east)
This problem is extremely important for IIT JEE, NEET, NDA, and any exam involving 2D motion or vector analysis.
If you’re learning river crossing, projectile motion with wind, or relative velocity, this video will strengthen your conceptual approach.
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