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3.2 , motion in plane — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics3.2 , motion in plane1 Mark
MCQ
Figure shows two ships moving in $x-y$ plane with velocities $V_A$ and $V_B$. The ships move such that $B$ always remains north of $A$. The ratio $\frac{V_A}{V_B}$ is equal to ........
  • ✓
    $\cos \theta$
  • B
    $\sin \theta$
  • C
    $\sec \theta$
  • D
    $\operatorname{cosec} \theta$
✓

Answer

Correct option: A.
$\cos \theta$
a
(a)

If ship $B$ is always north of ship $A$ then, their horizontal component should be equal, so,

$V_A=V_B \cos \theta$

$\Rightarrow \frac{V_A}{V_B}=\cos \theta$

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