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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
If the initial velocity in horizontal direction of a projectile is unit vector $\hat{i}$ and the equation of trajectory is $y =5 x (1- x )$. The $y$ component vector of the initial velocity is.

(Take $g=10\,m / s ^{2}$ )

  • A
    $4$
  • B
    $3$
  • ✓
    $5$
  • D
    $80$
✓

Answer

Correct option: C.
$5$
c
$u_{x}=1$

$y=5 x(1-x)$

$\frac{d y}{d t}=5 \frac{d x}{d t}-10 x \frac{d x}{d t}$

For initial $y$-component of velocity

$u _{ y }=\left(\frac{ dy }{ dt }\right)_{ x =0} \Rightarrow 5(1)=5$

$\overrightarrow{ u }_{ y }=5\,\hat{j }$

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