A projectile is fired from horizontal ground | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(image)

$d=\frac{v^2 \sin 2 	heta}{g}$

(image)

$H _{\operatorname{mex}}=\frac{ v ^2 \sin ^2 	heta}{2 g } ; \frac{1}{2} g _{ aff } t ^2= H _

Vedclass · Accepted Answer

$0.95$

Vedclass · Answer

(image)

$d=\frac{v^2 \sin 2 	heta}{g}$

(image)

$H _{\operatorname{mex}}=\frac{ v ^2 \sin ^2 	heta}{2 g } ; \frac{1}{2} g _{ aff } t ^2= H _{\max } \Rightarrow t ^2=\frac{2 H _{\max }}{ g _{ af }} ; t =\sqrt{\frac{ v ^2 \sin ^2 	heta 	imes 0.81}{g^2}} ; t =\frac{0.9 v \sin 	heta}{ g }$

$t ^2=\frac{2 	imes v ^2 \sin ^2 	heta}{2 g \left(\frac{ g }{0.81}ight)}$

$d ^{\prime}=	ext { New range }=\frac{d}{2}+ d _1$

$d _1= v \cos 	heta^{\circ} t$

$=\frac{ v ^2 \sin ^2 	heta \cos 	heta 	imes 0.9}{ g } ; d ^{\prime}=\frac{ v ^2 \sin 2 	heta}{2 g }+\frac{ v ^2 \sin 2 	heta 	imes 0.9}{2 g }$

$=\frac{ v ^2 \sin 2 	heta}{ g }\left(\frac{1.0}{2}ight)=0.95 d$

$n =0.95$

Similar Questions

Two particles $A$ and $B$ are moving in $XY$ plane. Particle $A$ moves along a line with equation $y = x$ while $B$ moves along $X$ axis such that their $X$ coordinates are always equal. If $B$ moves with a uniform speed $3\ m/s$ , the speed of $A$ is

Let $\vec v$ and $\vec a$ denote the velocity and acceleration respectively of a body in one-dimensional motion

A point moves in $x -y$ plane according to the law $x = 3\, cos\,4t$ and $y = 3\, (1 -sin\,4t)$. The distance travelled by the particle in $2\, sec$ is...........$m$ (where $x$ and $y$ are in $metres$ )

A $NCC$ parade is going at a uniform speed of $9\,km / h$ under a mango tree on which a monkey is sitting at a height of $19.6\,m$. At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at time of drop is $...m$

(Given $g=9.8\,m / s ^{2}$ )

Similar Questions

Two particles $A$ and $B$ are moving in $XY$ plane. Particle $A$ moves along a line with equation $y = x$ while $B$ moves along $X$ axis such that their $X$ coordinates are always equal. If $B$ moves with a uniform speed $3\ m/s$ , the speed of $A$ is

Let $\vec v$ and $\vec a$ denote the velocity and acceleration respectively of a body in one-dimensional motion

A point moves in $x -y$ plane according to the law $x = 3\, cos\,4t$ and $y = 3\, (1 -sin\,4t)$. The distance travelled by the particle in $2\, sec$ is...........$m$ (where $x$ and $y$ are in $metres$ )

A $NCC$ parade is going at a uniform speed of $9\,km / h$ under a mango tree on which a monkey is sitting at a height of $19.6\,m$. At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at time of drop is $...m$ (Given $g=9.8\,m / s ^{2}$ )