1. Tardigrade
  2. Question
  3. Physics
  4. At a particular instant, a stationary observer on the ground sees a package falling with a speed v1 at an angle θ to the vertical. To a pilot flying horizontally with a constant speed v relative to the ground, the package appears to be falling vertically with a speed v2 ( at that same instant ). The speed of the pilot relative to the ground (.v.) is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. At a particular instant, a stationary observer on the ground sees a package falling with a speed $v_{1}$ at an angle $\theta $ to the vertical. To a pilot flying horizontally with a constant speed $v$ relative to the ground, the package appears to be falling vertically with a speed $v_{2}$ ( at that same instant ). The speed of the pilot relative to the ground $\left(\right.v\left.\right)$ is

NTA AbhyasNTA Abhyas 2020Motion in a Plane

Solution:

Solution
we can see from the diagram, vector $v_{1}$ is resultant of two vectors $v$ and $v_{2}$
Hence $v^{2}+v_{2}^{2}=v_{1}^{2}$
$\Rightarrow v=\sqrt{\text{v}_{1}^{2} - \text{v}_{2}^{2}}$