For an object moving on a straight line, draw xto t graphs for : (i) When it is rest. (ii) When it i

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2.Motion in Straight Line

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For an object moving on a straight line, draw $x\to t$ graphs for :
$(i)$ When it is rest.
$(ii)$ When it is moving with constant velocity in positive direction.
$(iii)$ When it is moving with constant velocity in negative direction.
$(iv)$ When it performs non-uniform motion.

Option A

Option B

Option C

Option D

Solution

Motion of an object can be represented by a position-time graph.
Such a graph is a powerful tool to represent and analyse different aspects of motion of an object. For motion along a straight line, say X-axis, only $x$-coordinate varies with time and we have an $x-t$ graph.
$(1)$ Let us first consider the simple case in which an object is stationary. e.g. : a object standing still at $x=40 \mathrm{~m}$. The position-time graph is a straight line parallel to the time axis.
$(2)$ If an object moving along the straight line covers equal distances in equal intervals of time, it is said to be in uniform motion.
$(3)$ The $x \rightarrow t$ graph for any object moving with constant negative velocity is as below.

Standard 11

Physics

A particle moves along a straight line $OX$ . At a time $t$ (in seconds) the distance $x$ (in metres ) of the particle from $O$ is given by $x = 40 + 12t – {t^3}$.How long would the particle travel before coming to rest ?……….$m$

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(AIPMT-2006)

For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds

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Which of the following velocity-time graphs represent uniform motion

easy

The figure shows the velocity $(v)$ of a particle plotted against time $(t)$

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The posttion of an object moving along $x$ -axis ts given by $x=a+b t^{2}$ where $a=8.5\; \mathrm{m}, b=2.5 \;\mathrm{m} \mathrm{s}^{-2}$ and $t$ is measured in seconds. What is the velocity at $t=0\;s$ and $t=2.0 \;s$?

easy

For an object moving on a straight line, draw $x\to t$ graphs for : $(i)$ When it is rest. $(ii)$ When it is moving with constant velocity in positive direction. $(iii)$ When it is moving with constant velocity in negative direction. $(iv)$ When it performs non-uniform motion.

Solution

Similar Questions

A particle moves along a straight line $OX$ . At a time $t$ (in seconds) the distance $x$ (in metres ) of the particle from $O$ is given by $x = 40 + 12t – {t^3}$.How long would the particle travel before coming to rest ?……….$m$

For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds

Which of the following velocity-time graphs represent uniform motion

The figure shows the velocity $(v)$ of a particle plotted against time $(t)$

The posttion of an object moving along $x$ -axis ts given by $x=a+b t^{2}$ where $a=8.5\; \mathrm{m}, b=2.5 \;\mathrm{m} \mathrm{s}^{-2}$ and $t$ is measured in seconds. What is the velocity at $t=0\;s$ and $t=2.0 \;s$?

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For an object moving on a straight line, draw $x\to t$ graphs for :
$(i)$ When it is rest.
$(ii)$ When it is moving with constant velocity in positive direction.
$(iii)$ When it is moving with constant velocity in negative direction.
$(iv)$ When it performs non-uniform motion.