Distance Time Graph

Q. Displacement - time graph of a body travelling in a straight line is shown in the figure.

Velocity-time graph for the motion of the body will be

1. 
   
2. 
3. 
4. 

Q. A particle moves, along a straight line OX. At a time $t$ (in second), the position $x$ (in metre) of the particle from $O$ is given by $x=40+12t-t^3$. How much distance particle covers before coming to rest?

1. $16\text{m}$
2. $24\text{m}$
3. $40\text{m}$
4. $56\text{m}$

Q. Compare the velocity of the two particles $A$ and $B$ as per the displacement-time curve shown below.

1. Velocity of particle $A$ is less than velocity of particle $B$
2. Velocity of particle $B$ is less than velocity of particle $A$
3. Velocity of particle $A$ is equal to velocity of particle $B$
4. Can't say.

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

1. the particle starts with a certain velocity, but the motion is retarded and finally the particle stops.
2. the velocity of the particle decreases.
3. the acceleration of the particle is in opposite direction to the velocity.
4. the particle starts with a constant velocity, the motion is accelerated and finally the particle moves with another constant velocity.

Q. Refer to distance $\left(x\right)-$ time $\left(t\right)$ graph. Which of the following is correct?

1. At $D$, velocity is positive.
2. At $F$, motion is in the $-x$ direction.
3. At $C$, velocity is $+ve$
4. All of the above

Q. The graph between the displacement $x$ and time $t$ for a particle moving in a straight line is shown in figure. During the interval $OA,AB,BC$ and $CD$, the acceleration of the particle is

1. $\begin{array}{cccc}OA& AB& BC& CD\\ +& 0& +& +\end{array}$
2. $\begin{array}{cccc}OA& AB& BC& CD\\ -& 0& +& 0\end{array}$
3. $\begin{array}{cccc}OA& AB& BC& CD\\ +& 0& -& +\end{array}$
4. $\begin{array}{cccc}OA& AB& BC& CD\\ -& 0& -& 0\end{array}$