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STD 11 - 3.2 , motion in plane — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 3.2 , motion in plane4 Marks
MCQ
A particle is projected from a horizontal plane ($x-z$ plane) such that its velocity vector at time t is given by $\vec V = a\hat i + (b - ct)\hat j$ Its range on the horizontal plane is given by
  • A
    $\frac{{ba}}{c}$
  • ✓
    $\frac{{2ba}}{c}$
  • C
    $\frac{{3ba}}{c}$
  • D
    None
✓

Answer

Correct option: B.
$\frac{{2ba}}{c}$
b
$\vec{v}=a i+(b-c i) j$

$\Rightarrow \quad v_{x}=a \quad v_{y}=b-c t$

$a_{y}=\frac{d v_{y}}{d t}=-c$

$R=\frac{2 u_{x} u_{y}}{a_{y}} \Rightarrow R=\frac{2 a  b}{c}$

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