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

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics3.2 , motion in plane1 Mark
MCQ
An airplane airspeed indicator reads $100 \,m / s$ and its compass shows that it is heading $37^{\circ}$ east of north. The meteorological information provided to the navigator is that the wind velocity is $20 \,m / s$ towards east. The speed of the airplane relative to the ground is closest to ............ $\,m / s$
  • A
    $111$
  • ✓
    $113$
  • C
    $115$
  • D
    $120$
✓

Answer

Correct option: B.
$113$
b
(B)

$V _{\text {res }}=\sqrt{ V _{ p }^2+ v _{ w }^2+2 V _{ p } v _{ w } \cos 53^{\circ}}$

$=\sqrt{100^2+20^2+2(100)(20) \cos 53^{\circ}}$

$=113.13 \,m / s$

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