(A) The slope of the displacement-time graph represents the velocity of the particle $(v = dx/dt)$.As time increases,the slope of the curve continuous

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The particle starts with 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 $(v = dx/dt)$.As time increases,the slope of the curve continuously decreases,which indicates that the velocity of the particle is decreasing.This means the motion is retarded (decelerated).Finally,the slope of the curve becomes zero at the horizontal asymptote,which implies that the velocity becomes zero and the particle stops.Therefore,option $(A)$ is correct.

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

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The displacement of a particle as a function of time is shown in the figure. The figure shows that

A
The particle starts with 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 constant velocity,then motion is accelerated and finally the particle moves with another constant velocity

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Motion in Straight Line

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Instantaneous Velocity and Speed and Velocity-time Graph

The displacement-time graphs of two moving particles make angles of $30^{\circ}$ and $45^{\circ}$ with the time-axis as shown in the figure. The ratio of their respective velocities is:

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

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The figure shows the graph of the $x$-coordinate of a particle moving along the $x$-axis as a function of time. The average velocity during $t=0$ to $6 \,s$ and the instantaneous velocity at $t=3 \,s$ respectively,will be

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The figure shows a velocity-time graph of a particle moving along a straight line. The correct displacement-time graph of the particle is shown as:

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In the picture shown,a ball starting from rest rolls down a ramp $AB$,moves along the horizontal bottom $BC$,then goes up a smaller ramp $CD$,and thereafter rolls on the horizontal plane $DE$. Ignore friction and air resistance. Which of the following figures shows the variation in speed with time?

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The displacement of a particle as a function of time is shown in the figure. The figure shows that

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The displacement-time graphs of two moving particles make angles of $30^{\circ}$ and $45^{\circ}$ with the time-axis as shown in the figure. The ratio of their respective velocities is:

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

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