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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
An arrow is shot into air. Its range is $200\,m$ and its time of flight is $5\,s$. If $g=10\,m / s ^2$, then horizontal component of velocity and the maximum height will be respectively
  • A
    $20\,m / s , 62.50\,m$
  • ✓
    $40\,m / s , 31.25\,m$
  • C
    $80\,m / s , 62.5\,m$
  • D
    None of these
✓

Answer

Correct option: B.
$40\,m / s , 31.25\,m$
b
(b)

$T=\frac{2 u_y}{g}$

$\therefore \quad u_y=\frac{g T}{2}=25\,m / s$

Now,

$H=\frac{u_y^2}{2 g}=\frac{(25)^2}{20}$

$=31.25\,m$

Further, $R=u_x T$

$\therefore \quad u_x=\frac{R}{T}$

$=40\,m / s$

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