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

212950-q

  • A

    Velocity of particle between $t=0$ to $t=2 \,s$ is positive

  • B

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

  • C

    Velocity of particle is opposite to acceleration between $t=5$ to $t=8 \,s$

  • D

    Acceleration of particle is positive between $t_1=2 s$ to $t_2=5 \,s$ while it is negative between $t_1=5 \,s$ to $t_2=8 \,s$

Similar Questions

The correct statement from the following is

Displacement $(x)$ of a particle is related to time $(t)$ as:

$x = at + bt^2 -ct^3$

where $a, b$ and $c$ are constants of the motion. The velocity of the particle when its acceleration is zero is given by

A ball is dropped and its displacement versus time graph is as shown (Displacement $x$ from ground and all quantities are positive upwards).

$(a)$ Plot qualitatively velocity versus time graph.

$(b)$ Plot qualitatively acceleration versus time graph.

A body is at rest at $x=0$. At $t=0$, it starts moving in the positive $x-$ direction with a constant acceleration. At the same instant another body passes through $x=0$ moving in the positive $x$ direction with a constant speed. The position of the first body is given by $x_{1} (t)$ after time $t$ and that of the second body by $x_{2}(t)$ after the same time interval. Which of the following graphs correctly describe $\left(x_{1}-x_{2}\right)$ as a function of time $t$?

  • [AIEEE 2008]

The acceleration of a moving body can be found from