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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
$A$ ship $X$ moving due north with speed $v$ observes that another ship $Y$ is moving due west with same speed $v$. The actual velocity of $Y$ is $........$.
  • A
    $\sqrt{2 }v$ towards south-west
  • ✓
    $\sqrt{2 }v$ towards north-west
  • C
    $\sqrt{2 }v$ towards south-east
  • D
    $v$ towards north-east
✓

Answer

Correct option: B.
$\sqrt{2 }v$ towards north-west
b
(b)

$v _X=-v \hat{ j }$

$v _Y= v _{Y X}+ v _X=-v \hat{ i }+v \hat{ j }$

$\left| v _Y\right|=\sqrt{2} v$

Direction of $v _Y$ is north-west.

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