Displacement (x) - time (t) graph of a particle is shown in figure. Which of following is correct?

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2.Motion in Straight Line

easy

The displacement $(x)$ - time $(t)$ graph of a particle is shown in figure. Which of the following is correct?

Particle starts with zero velocity and variable acceleration

Particle starts with non-zero velocity and variable acceleration

Particle starts with zero velocity and uniform acceleration

Particle starts with non-zero velocity and uniform acceleration

Solution

(a)

From the graph it is clear that the $x$ is a function of time and speed/velocity is also changing. So, if velocity is changing then definitely the acceleration also changes with time. So, at $t=0, x=0$, so $v=0$ but it is function of time and hence non-uniform.

Standard 11

Physics

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$Assertion$ : A body can have acceleration even if its velocity is zero at a given instant of time.

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easy

(AIIMS-1998)

The relation between time and distance is $t = \alpha {x^2} + \beta x$, where $\alpha $ and $\beta $ are constants. The retardation is

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(AIEEE-2005)

The position $x$ of a particle varies with time $t$ as $x = a{t^2} – b{t^3}$. The acceleration of the particle will be zero at time $t$ equal to

medium

(AIPMT-1997)

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

The acceleration-displacement graph of the same particle is represented by :

medium

(JEE MAIN-2021)

The displacement $(x)$ - time $(t)$ graph of a particle is shown in figure. Which of the following is correct?

Solution

Similar Questions

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$Assertion$ : A body can have acceleration even if its velocity is zero at a given instant of time.

$Reason$ : A body is numerically at rest when it reverses its direction.

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

The acceleration-displacement graph of the same particle is represented by :