A particle starts from origin O from rest and moves with a uniform acceleration along positive x

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2.Motion in Straight Line

hard

A particle starts from origin $O$ from rest and moves with a uniform acceleration along the positive $x -$ axis. Identify all figures that correctly represent the motion qualitatively. ($a =$ acceleration, $v =$ velocity, $x =$ displacement, $t =$ time)

$a, b, c$

$a$

$b, c$

$a, b, d$

(JEE MAIN-2019)

Solution

$\begin{array}{l}
Give\,initial\,velocity\,u = 0\,and\,acceleration\\
is\,{\rm{constant}}\\
At\,time\,t\\
v = 0 + \,at\\
\Rightarrow \,v = \,at\\
Also\,X = 0\left( t \right) + \frac{1}{2}a{t^2}\\
\Rightarrow \,\,X = \frac{1}{2}a{t^2}\\
Graph\,\left( a \right),\,\left( b \right)\,and\,\left( d \right)\,are\,correct.
\end{array}$

Standard 11

Physics

The velocity- displacement graph of a particle is shown in figure.

$(a)$ Write the relation between $v$ and $x$.

$(b)$ Obtain the relation between acceleration and displacement and plot it.

hard

Draw the $x\to t$ graphs for positive, negative and zero acceleration.

medium

The distance travelled by a body moving along a line in time $t$ is proportional to $t^3$. The acceleration-time $(a, t)$ graph for the motion of the body will be

medium

(AIEEE-2012)

Two points move in the same straight line starting at the same moment from the same point in it. The first moves with constant velocity $u$ and the second with constant acceleration $f$. During the time elapses before the second catches, the first greatest distance between the particle is $……..$

hard

Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity?

hard

(JEE MAIN-2017)

A particle starts from origin $O$ from rest and moves with a uniform acceleration along the positive $x -$ axis. Identify all figures that correctly represent the motion qualitatively. ($a =$ acceleration, $v =$ velocity, $x =$ displacement, $t =$ time)

Solution

Similar Questions

The velocity- displacement graph of a particle is shown in figure. $(a)$ Write the relation between $v$ and $x$. $(b)$ Obtain the relation between acceleration and displacement and plot it.

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The velocity- displacement graph of a particle is shown in figure.

$(a)$ Write the relation between $v$ and $x$.

$(b)$ Obtain the relation between acceleration and displacement and plot it.