A particle has initial velocity left( {2hat{i} + 3hat{j}} right) and acceleration l

English

Gujarati

Hindi

3-2.Motion in Plane

medium

A particle has initial velocity $\left( {2\hat i + 3\hat j} \right)$ and acceleration $\left( {0.3\hat i + 0.2\hat j} \right)$. The magnitude of velocity after $10\, seconds$ will be

$5\, units$

$9\, units$

$9\sqrt 2 \,unit$

$5\sqrt 2 \,unit$

Solution

$(\overrightarrow{\mathrm{v}})_{\mathrm{att}=10 \mathrm{sec}}=\overrightarrow{\mathrm{u}}+\overrightarrow{\mathrm{a}} \mathrm{t}=(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}})+(0.3 \hat{\mathrm{i}}+0.2 \hat{\mathrm{j}}) \times 10$

$=5 \hat{\mathrm{i}}+5 \hat{\mathrm{j}}$

$\therefore$ Magnitude $=\sqrt{5^{2}+5^{2}}=5 \sqrt{2} \mathrm{units}$

Standard 11

Physics

A particle moves in $x-y$ plane with velocity $\vec v = a\widehat i\, + \,bx\widehat j$ where $a$ & $b$ are constants. Initially particle was at origin then trajectory equation is:-

hard

A particle starting from the origin $(0, 0)$ moves in a straight line in the $(x, y)$ plane. Its coordinates at a later time are $(\sqrt 3 , 3) .$ The path of the particle makes with the $x-$axis an angle of ……… $^o$

medium

(AIPMT-2007)

A particle moves along a parabolic path $y=9 x^2$ in such a way that the $x$ component of velocity remains constant and has a value $\frac{1}{3}\,m / s$. The acceleration of the particle is $…….m / s ^2$

hard

The position vector of a particle is given as $\vec r = (t^2 – 4t + 6)\hat i + (t^2 )\hat j$. The time after which the velocity vector and acceleration vector becomes perpendicular to each other is equal to…….$sec$

medium

Two particles are projected simultaneously in the same vertical plane, from the same point on ground, but with same speeds but at different angles $( < 90^o )$ to the horizontal. The path followed by one, as seen by the other, is

medium

A particle has initial velocity $\left( {2\hat i + 3\hat j} \right)$ and acceleration $\left( {0.3\hat i + 0.2\hat j} \right)$. The magnitude of velocity after $10\, seconds$ will be

Solution

Similar Questions

A particle moves in $x-y$ plane with velocity $\vec v = a\widehat i\, + \,bx\widehat j$ where $a$ & $b$ are constants. Initially particle was at origin then trajectory equation is:-

A particle starting from the origin $(0, 0)$ moves in a straight line in the $(x, y)$ plane. Its coordinates at a later time are $(\sqrt 3 , 3) .$ The path of the particle makes with the $x-$axis an angle of ……… $^o$

A particle moves along a parabolic path $y=9 x^2$ in such a way that the $x$ component of velocity remains constant and has a value $\frac{1}{3}\,m / s$. The acceleration of the particle is $…….m / s ^2$

The position vector of a particle is given as $\vec r = (t^2 – 4t + 6)\hat i + (t^2 )\hat j$. The time after which the velocity vector and acceleration vector becomes perpendicular to each other is equal to…….$sec$

Two particles are projected simultaneously in the same vertical plane, from the same point on ground, but with same speeds but at different angles $( < 90^o )$ to the horizontal. The path followed by one, as seen by the other, is

Start a Free Trial Now