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A body is projected into air with velocity 20 m/s at an angle 60°. Find its position after 1 second​

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Answer:

We will DIVIDE the Projectile MOTION into 2 simultaneously occuring 1D motions.

ALONG X AXIS :

\sf{ \therefore \: x = u \cos( \theta)  \times t}

\sf{ \implies \: x = 20 \cos( 60 \degree)  \times 1}

\sf{ \implies \: x = 20  \times  \dfrac{1}{2}  \times 1}

\sf{ \implies \: x = 10 \: m}

Along Y axis :

\sf{ \therefore \: y = u \sin( \theta) t -  \frac{1}{2} g {t}^{2}}

\sf{ \implies \: y = 20 \sin( 60 \degree)  \times 1- ( \frac{1}{2}  \times 10 \times  {1}^{2}} )

\sf{ \implies \: y = 20  \times  \frac{ \sqrt{3} }{2}  - 5}

\sf{ \implies \: y =17.32 - 5}

\sf{ \implies \: y =12.32 \: m}

So , coordinate will be :

\boxed{ \red{ \bold{ \sf{ \huge{(x,y) = (10,12.32)}}}}}



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