Position Time Graph

Q. The graph of displacement v/s time is


Its corresponding velocity-time graph will be

1. 
2. 
3. 
4. 

Q.

On an open ground, a motorist follows a track that turns to his left by an angle of 60° after every 500 m. Starting from a given turn, specify the displacement of the motorist at the third, sixth and eighth turn. Compare the magnitude of the displacement with the total path length covered by the motorist in each case.

Q.

What does Area under POSITION-TIME graph give?

Just curious to know, sorry if it's silly.

Q.

Time velocity graphs for 2 objects A and B are straight lines inclined 60⁰ and 30⁰ with the time axis. Then the accelerations of A and B are in the ratio?

Q. The diagram shows the displacement-time graph for a particle moving in a straight line. The average velocity for the interval $t=0s$ to $t=5s$ is (Displacement is in $m$ and time is in $s$)

1. $0m{s}^{-1}$
2. $6m{s}^{-1}$
3. $-2m{s}^{-1}$
4. $-1m{s}^{-1}$

Q. A particle at rest is projected from the origin moves in $x-y$ plane with a velocity of $\overrightarrow{v}=(3\hat{i}+6x\hat{j})\text{m/s}$, where $\hat{i}$ and $\hat{j}$ are unit vectors along $+x$ and $+y$ axis. Which of the following equations represent the equation of path followed by the particle?

1. $y=x^2$
2. $y=\frac{1}{x^2}$
3. $y=\frac{1}{x}$
4. $y=2x^2$

Q. Figure shows the position of a particle moving along the $x-$ axis as a function of time. Which of the following is correct?

1. The maximum speed is at $t=6\text{s}$.
2. The velocity remains positive for $t=0$ to $t=6\text{s}$.
3. The average velocity for the total period shown is negative.
4. The particle has come to rest 6 times.

Q. The graph of displacement v/s time is shown in Fig

Its corresponding velocity-time graph will be

1. 
2. 
3. 
4. 

Q.

what is rebound velocity

Q.

Figure 3.24 gives the x-t plot of a particle in one-dimensional motion. Three different equal intervals of time are shown. In which interval is the average speed greatest, and in which is it the least? Give the sign of average velocity for each interval.

Q. The figure shows the graph of the $x-$coordinate of a particle moving along the $x-$axis as a function of time. Average velocity during $t=0$ to $t=6\text{s}$ is

1. $10\text{m/s}$
2. $60\text{m/s}$
3. $5\text{m/s}$
4. $0$

Q. If time taken by the projectile to reach $\text{Q}$ is $T$, then what is the magnitude of $\text{PQ}$?

1. $Tv\sin \theta$
2. $Tv\cos \theta$
3. $Tv\sec \theta$
4. $Tv\tan \theta$

Q. A particle is moving along $x-$axis. Its $x-$coordinate versus time graph is shown.


Its $v-t$ graph will be:

1. 
2. 
3. 
4. 

Q. The figure shows an estimated force time graph for a baseball stuck by a bat. From the curve, determine the impulse delivered to the ball

1. $1.35\times {10}^3\text{Ns}$
2. $2.7\times {10}^3\text{Ns}$
3. $2.7\times {10}^4\text{Ns}$
4. $1.35\times {10}^4\text{Ns}$

Q.

Figure 5.17 shows the position-time graph of a body of mass 0.04 kg. Suggest a suitable physical context for this motion. What is the time between two consecutive impulses received by the body? What is the magnitude of each impulse?

Q.

The position coordinates of a particle moving in $XY$–plane as a function of time t are$x=2t^2+6t+25m$ and $y=t^2+2t+2m$. The speed of particle at $t=10sec$, is

1. $31m/s$

2. $51m/s$

3. $71m/s$

4. $81m/s$

Q. The displacement time graph for two particles $A$ and $B$ are straight lines inclined at angles of ${30}^{\circ }$ and ${60}^{\circ }$ respectively with the time axis. The ratio $V_A:V_B$ is

1. $1:2$
2. $1:\sqrt{3}$
3. $1:3$
4. $3:1$

Q. Consider a solid cylinder of density ${\rho }_s$ cross – sectional area A and height h floating in a liquid of density ${\rho }_l$, as shown in the adjacent figure $({\rho }_l>{\rho }_s)$. It is depressed slightly and allowed to oscillate vertically.

The frequency of small oscillations is

1. 
2. 
3. 
4. 

Q. Which of the following represents an impossible situation?

1. 
2. 
3. 
4. 

Q.

A boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can, equal to 49 m/s. How much time does the ball take to return to his hands? If the lift starts moving up with a uniform speed of 5 m/s and the boy again throws the ball up with the maximum speed he can, how long does the ball take to return to his hands?

Q. Figure shows $(x,t),(y,t)$ diagram of a particle moving in $2-$dimensions.

If the particle has a mass of $500\text{g}$, the force acting on the particle is (Assume $x=t,y=t^2$ are equation of given graphs)

1. $1\text{N}$ along $y-$ axis
2. $1\text{N}$ along $x-$ axis
3. $0.5\text{N}$ along $x-$ axis
4. $0.5\text{N}$ along $y-$ axis

Q.

Explain with a reason which of the following graphs can possibly represent the motion of a particle observed in the nature.

Q. an insect crawls up5 cm every secondon a60 cm vertical rodandfalls down 2 cm over the next second. how many seconds will it take to climb the rod for that insect ??

Q.

Velocity-time graph of a particle is a straight line inclined to the time axis, its displacement time graph will also be a straight line.

1. True
2. False

Q.

Figure 3.21 shows the x-t plot of one-dimensional motion of a particle. Is it correct to say from the graph that the particle moves in a straight line for t < 0 and on a parabolic path for t > 0? If not, suggest a suitable physical context for this graph.

Q.

Which graph shows the relationship between X_c and f?

1. 

2. 

3. 

4. 

Q. A body falls from height h.The v-s graph is?

Q. From the following displacement-time graph find out the velocity of a moving body

1. 
2. 3 m/s
3. 
4. 

Q.

The displacement versus time curve is given below. Match the nearest option. (Assuming curves to be parabolic)


$\begin{array}{cc}\text{Column I}& \text{Column II}\\ i.OA& \text{a. velocity increase with time linearly}\\ ii.AB& \text{b. velocity decreases with time}\\ iii.BC& \text{c. velocity is independent of time}\\ iv.CD& \text{d. velocity is zero}\end{array}$

1. $i.\to c.,ii.\to a.,iii.\to b.,iv.\to d$.
2. $i.\to a.,ii.\to c.,iii.\to d.,iv.\to b$.
3. $i.\to a.,ii.\to c.,iii.\to b.,iv.\to d$.
4. $i.\to a.,ii.\to b.,iii.\to c.,iv.\to d$.

Q. A particle starts from the origin at $t=0$ with an initial velocity of $3.0\hat{i}\text{m/s}$ and moves in the $x-y$ plane with a constant acceleration $(6.0\hat{i}+4.0\hat{j}){\text{m/s}}^2$. The $x-$coordinate of the particle at the instant when its $y-$coordinate is $32\text{m}$ is $D\text{meters}$. The value of $D$ is:

1. $32$
2. $50$
3. $60$
4. $40$