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 , the

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3-2.Motion in Plane

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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

$20\,m / s , 62.50\,m$

B

$40\,m / s , 31.25\,m$

C

$80\,m / s , 62.5\,m$

D

None of these

Solution

(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, $R=u_x T$

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

$=40\,m / s$

Standard 11

Physics

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