A projectile is projected from ground with initial velocity vec u, = ,{u_0}hat{i}, + ,{v_0}hat{j}, .

English

Gujarati

Hindi

3-2.Motion in Plane

medium

A projectile is projected from ground with initial velocity $\vec u\, = \,{u_0}\hat i\, + \,{v_0}\hat j\,$. If acceleration due to gravity $(g)$ is along the negative $y-$ direction then find maximum displacement in $x-$ direction

A

$\frac {u_0^2}{2g}$

B

$\frac {2u_0v_0}{g}$

C

$\frac {v_0^2}{2g}$

D

$\frac {4u_0v_0}{g}$

Solution

Given,

$\overrightarrow{ U }=u_0 \hat{1}+v_0 \hat{j}$

$u_0=u \cos \theta \ldots \ldots .1$

$v_0=v \sin \theta \ldots \ldots . .2$

Since,

$R =\frac{ u ^2 2 \sin 2 \theta}{ g }$

$R =\frac{ u ^2 2(\sin \theta \cdot \cos \theta)}{ g } \ldots \ldots$

Substituting the value of equation 1,2 in eqyuation 3 then we get,

$R =\frac{2 u _0 v _0}{ g }$

Standard 11

Physics

Share

Similar Questions

A stone is projected from ground at $t = 0$. At the time of projection horizontal and vertical component of velocity are $10\, m/s$ and $20\, m/s$ respectively. Then time at which tangential and normal acceleration magnitude will be equal $(g = 10\, m/s^2)$ [neglect air friction] ……… $\sec$

hard

Two projectiles $A$ and $B$ are thrown with the same speed but angles are $40^{\circ}$ and $50^{\circ}$ with the horizontal. Then

easy

If the time of flight of a bullet over a horizontal range $R$ is $T$, then the angle of projection with horizontal is ……

medium

A piece of marble is projected from earth's surface with velocity of $19.6 \sqrt{2}\,m / s$ at $45^{\circ}.$ $2\,s$ later its velocity makes an angle $\alpha$ with horizontal, where $\alpha$ is $……….$

medium

A ball is projected with kinetic energy $E$ at an angle of ${45^o}$ to the horizontal. At the highest point during its flight, its kinetic energy will be

medium

(AIPMT-2001)