JEE Mains · Physics · STD 11 - 3.2 motion in plane
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 \(3\)
- C \(5\)
- D \(80\)
Answer & Solution
Correct Answer
(C) \(5\)
Step-by-step Solution
Detailed explanation
\(u_{x}=1\) \(y=5 x(1-x)\) \(\frac{d y}{d t}=5 \frac{d x}{d t}-10 x \frac{d x}{d t}\) 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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