(B) The correct option is $(B)$.$(i)$ From $t=0 \, s$ to $t=2 \, s$,the position $x=0$,so the velocity $v = \frac{dx}{dt} = 0$.$(ii)$ From $t=2 \, s$

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Velocity of the particle is opposite to acceleration between $t=2 \, s$ to $t=5 \, s$.

(B) The correct option is $(B)$.$(i)$ From $t=0 \, s$ to $t=2 \, s$,the position $x=0$,so the velocity $v = \frac{dx}{dt} = 0$.$(ii)$ From $t=2 \, s$ to $t=5 \, s$,the slope of the $x-t$ graph is positive (velocity $v > 0$),but the graph is concave downwards,which implies acceleration $a $(iii)$ From $t=5 \, s$ to $t=8 \, s$,the slope of the $x-t$ graph is negative (velocity $v < 0$),and the graph is concave downwards (acceleration $a < 0$). Since both $v$ and $a$ are negative,they are in the same direction.

Class 11 Physics Motion in Straight Line Instantaneous Velocity and Speed and Velocity-time Graph

Medium

The position-time graph of a particle moving along a straight line is shown,which is in the form of a semicircle starting from $t=2 \, s$ to $t=8 \, s$. Select the correct statement.

A
Velocity of the particle between $t=0 \, s$ to $t=2 \, s$ is positive.
B
Velocity of the particle is opposite to acceleration between $t=2 \, s$ to $t=5 \, s$.
C
Velocity of the particle is opposite to acceleration between $t=5 \, s$ to $t=8 \, s$.
D
Acceleration of the particle is positive between $t=2 \, s$ to $t=5 \, s$ while it is negative between $t=5 \, s$ to $t=8 \, s$.

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Class 11 Questions

Class 11

Physics Questions

Chapter

Motion in Straight Line

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Instantaneous Velocity and Speed and Velocity-time Graph

Two small blocks slide without losing contact with the surface along two frictionless tracks $1$ and $2$,starting at the same time with the same initial speed $v$. Track $1$ is perfectly horizontal,while track $2$ has a dip in the middle,as shown in the figure. Which block reaches the finish line first? [Hint: Use velocity-time graph to solve]

MediumKVPY 2009

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The relation $3t = \sqrt{3x} + 6$ describes the displacement of a particle in one direction,where $x$ is in $m$ and $t$ is in $s$. The displacement,when velocity is zero,is ......... $m$.

Difficult

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$A$ particle shows a distance-time curve as given in the figure. The maximum instantaneous velocity of the particle is around the point:

EasyAIPMT 2008

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The figure shows the position-time $(x-t)$ graph of the motion of two boys $A$ and $B$ returning from school $O$ to their homes $P$ and $Q$ respectively. Which of the following statements is true?

Medium

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The position-time graph for a body moving along a straight line between $O$ and $A$ is shown in the figure. During its motion between $O$ and $A$,how many times does the body come to rest?

Easy

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The position-time graph of a particle moving along a straight line is shown,which is in the form of a semicircle starting from $t=2 \, s$ to $t=8 \, s$. Select the correct statement.

Similar Questions

The relation $3t = \sqrt{3x} + 6$ describes the displacement of a particle in one direction,where $x$ is in $m$ and $t$ is in $s$. The displacement,when velocity is zero,is ......... $m$.

$A$ particle shows a distance-time curve as given in the figure. The maximum instantaneous velocity of the particle is around the point:

The figure shows the position-time $(x-t)$ graph of the motion of two boys $A$ and $B$ returning from school $O$ to their homes $P$ and $Q$ respectively. Which of the following statements is true?

The position-time graph for a body moving along a straight line between $O$ and $A$ is shown in the figure. During its motion between $O$ and $A$,how many times does the body come to rest?

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