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  • If the initial velocity in horizontal direction of a projectile is unit vector  and the equation of tra

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

\mathrm{\left(\text { Take } g=10 \mathrm{~m} / \mathrm{s}^{2}\right. \text { ) }}

Option: 1

5


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\mathrm{\bar{u}_x=\hat{i}}
Equation of trajectory : \mathrm{y=5 x(1-x)}

Companing with;

\mathrm{y=x \tan \left(1-\frac{x}{R}\right)}

\mathrm{R=1}

\mathrm{\tan \theta=5}

\mathrm{R=\frac{2 u_x u_y}{g}}

\mathrm{1=\frac{2(1) \times u_y}{10} ; u_y=5 \mathrm{~m} / \mathrm{s}}

The \mathrm{y}component vector of the initial velocity is \mathrm{5\: \hat{j}}

Posted by

rishi.raj

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