TS EAMCET · Physics · Motion In Two Dimensions
An aircraft is flying at a height of ' \(H\) ' above the ground and at a speed of ' \(V\) '. The maximum angle subtended at a ground observation point by the aircraft after time \(T\) is
- A \(\tan ^{-1}\left(\frac{V T}{H}\right)\)
- B \(\tan ^{-1}\left(\frac{V T}{2 H}\right)\)
- C \(2 \tan ^{-1}\left(\frac{2 V T}{H}\right)\)
- D \(2 \tan ^{-1}\left(\frac{V T}{2 H}\right)\)
Answer & Solution
Correct Answer
(A) \(\tan ^{-1}\left(\frac{V T}{H}\right)\)
Step-by-step Solution
Detailed explanation
Let \(x\) is the distance travelled by the aircraft with speed \(\mathrm{V}\) after time \(\mathrm{T}\). We get \(\tan \theta=\frac{\mathrm{x}}{\mathrm{H}}\) Thus speed of the aircraft \(\mathrm{V}=\frac{\mathrm{x}}{\mathrm{T}}\)…
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