(A) The slope of the displacement-time graph represents the velocity of the particle $(v = \frac{dx}{dt})$.Initially,the slope is positive and large,i

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The particle starts with a certain velocity,but the motion is retarded and finally the particle stops.

(A) The slope of the displacement-time graph represents the velocity of the particle $(v = \frac{dx}{dt})$.Initially,the slope is positive and large,indicating that the particle starts with a certain velocity.As time increases,the slope of the curve continuously decreases and eventually becomes zero (the tangent becomes horizontal).$A$ decreasing slope implies that the velocity is decreasing,which means the motion is retarded.Since the final slope is zero,the particle eventually comes to rest.

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

Medium

The displacement of a particle as a function of time is shown in the figure. It indicates:

A
The particle starts with a certain velocity,but the motion is retarded and finally the particle stops.
B
The velocity of the particle is constant throughout.
C
The acceleration of the particle is constant throughout.
D
The particle starts with a constant velocity,the motion is accelerated and finally the particle moves with another constant velocity.

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Class 11

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Chapter

Motion in a Straight Line

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Instantaneous Velocity and Speed and Velocity-time Graph

The figure shows a speed-time graph of a particle in motion along a constant direction. Three equal intervals of time are shown. In which interval is the average acceleration greatest in magnitude? In which interval is the average speed greatest? Choosing the positive direction as the constant direction of motion,give the signs of $v$ and $a$ in the three intervals. What are the accelerations at the points $A, B, C$ and $D$?

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The position of a particle moving along the $y-$ axis is given as $y = 3t^2 - t^3$,where $y$ is in $m$ and $t$ is in $s$. The time when the particle attains the maximum positive position will be ........ $s$.

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The displacement $x$ of a particle in a straight line motion is given by $x = 1 - t - t^2$. The correct representation of the motion is $..............$.

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The accompanying graph of position $x$ versus time $t$ represents the motion of a particle. If $p$ and $q$ are both positive constants,the expression that best describes the acceleration $a$ of the particle is

KVPY 2013

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What does a vehicle's speedometer measure: instantaneous velocity or instantaneous speed?

Medium

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The displacement of a particle as a function of time is shown in the figure. It indicates:

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The position of a particle moving along the $y-$ axis is given as $y = 3t^2 - t^3$,where $y$ is in $m$ and $t$ is in $s$. The time when the particle attains the maximum positive position will be ........ $s$.

The displacement $x$ of a particle in a straight line motion is given by $x = 1 - t - t^2$. The correct representation of the motion is $..............$.

The accompanying graph of position $x$ versus time $t$ represents the motion of a particle. If $p$ and $q$ are both positive constants,the expression that best describes the acceleration $a$ of the particle is

What does a vehicle's speedometer measure: instantaneous velocity or instantaneous speed?

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