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Standard XII

Physics

Vector Addition

A bullet fire...

Question

A bullet fired at an angle of $60^{o}$ with the vertical hits the levelled ground at a distance of $200$ m. Find the distance at which the bullet will hit the ground when fired at angle of $30^{o}$ ________. (with same speed)

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Solution

$R = u^{2} S i n \frac{2 x}{g}$
$R \propto S i n 2 x$
$\frac{R 1}{R 2} = (\frac{S i n {2 x}^{1}}{S i n 2 x^{2}})$
$R 2 = R 1 \times (\frac{S i n 2 x^{2}}{S i n {2 x}^{1}})$
$R 2 = 200 \times (\frac{S i n 60}{S i n 120})$
$R 2 = 200 m$

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A bullet fired at an angle of 60o with the vertical hits the levelled ground at a distance of 200m. Find the distance at which the bullet will hit the ground when fired at angle of 30o ________. (with same speed)

R=u2Sin2xg R∝Sin2x R1R2=(Sin2x1Sin2x2) R2=R1×(Sin2x2Sin2x1) R2=200×(Sin60Sin120) R2=200m

A bullet fired at an angle of $60^{o}$ with the vertical hits the levelled ground at a distance of $200$ m. Find the distance at which the bullet will hit the ground when fired at angle of $30^{o}$ ________. (with same speed)

$R = u^{2} S i n \frac{2 x}{g}$
$R \propto S i n 2 x$
$\frac{R 1}{R 2} = (\frac{S i n {2 x}^{1}}{S i n 2 x^{2}})$
$R 2 = R 1 \times (\frac{S i n 2 x^{2}}{S i n {2 x}^{1}})$
$R 2 = 200 \times (\frac{S i n 60}{S i n 120})$
$R 2 = 200 m$