Graphs of Motion

The velocity time graph of a body moving in a straight line is shown in a figure. The ratio of displacement to distance travelled by the body in time $0$ to $10$ s is

The velocity $(v)$ versus time $(t)$ plot of a particle is shown in the figure, for a time interval of 40 s. The total distance travelled by the particle and the average velocity during this period are, respectively

______.

The velocity $(v)$ - Distance $(x)$ graph is shown in figure. Which graph represents acceleration(a) versus distance ( $x$) variation of this system?

The velocity time graph of a body moving in a straight line is shown in figure. The ratio of displacement to distance travelled by the body in time 0 to 8 s is

The velocity-time graph of an object moving along a straight line is shown in the figure. What is the distance covered by the object between $t = 0$ to $t = 4\text{ s}$?

The motion of an airplane is represented by velocity-time graph as shown below. The distance covered by airplane in the first 30.5 second is ̱_______ km.

Which of the following curves possibly represent one-dimensional motion of a particle?

Choose the correct answer from the options given below:

The displacement x versus time graph is shown below.

(A) The average velocity during 0 to 3 s is $10\text{ m/s}$

(B) The average velocity during 3 to 5 s is $0\text{ m/s}$

(C) The instantaneous velocity at $t = 2\text{ s}$ is $5\text{ m/s}$

(D) The average velocity during 5 to 7 s and instantaneous velocity at $t = 6.5\text{ s}$ are equal (E) The average velocity from $t = 0$ to $t = 9\text{ s}$ is zero

Choose the correct answer from the options given below:

The acceleration (a) - time (T) graph for the body starting from rest is given below. The maximum speed of the body is

The following figures show the variation of displacement with time of a particular object.

For the velocity-time graph shown in the figure below, the distance covered by the body in last two second of its motion is ' $S_1$ '. What is the ratio of ' $S_1$ ' to the total distance covered by it

A velocity - time graph of a body is shown below. The distance covered by the body from 6 second to 9 second is

The acceleration of a moving body can be found from

The velocity $(v)-$ time $(t)$ plot of the motion of a body is shown below:

The acceleration $(a)-$ time $(t)$ graph that best suits this motion is:

The position-time graphs for two students A and B returning from the school to their homes are shown in figure.

(A) A lives closer to the school

(B) B lives closer to the school

(C) A takes lesser time to reach home

(D) A travels faster than B

(E) B travels faster than A

Choose the correct answer from the options given below:

From the $v - t$ graph shown, the ratio of distance to displacement in $25\text{ s}$ of motion is:

The velocity time graph of a body moving in a straight line is shown in the figure.

The ratio of displacement to distance travelled by the body in time 0 to 10s is:

Given below are two statements

Statement I: Area under velocity- time graph gives the distance travelled by the body in a given time. Statement II: Area under acceleration- time graph is equal to the change in velocity in the given time.

In the light of given statements, choose the correct answer from the options given below.

Match Column-I with Column-II:

Choose the correct answer from the options given below:

The position-time (x - t) graph for positive acceleration is

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

If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph?

The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by:

A particle is moving with constant acceleration 'a'. Following graph shows v2 versus x(displacement) plot. The acceleration of the particle is ___________ m/s2.

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

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

The velocity-displacement graph describing the motion of bicycle is shown in the figure.

The acceleration-displacement graph of the bicycle's motion is best described by:

The speed versus time graph for a particle is shown in the figure. The distance travelled (in m) by the particle during the time interval t = 0 to t = 5 s will be________.

The velocity (v) and time (t) graph of a body in a straight line motion is shown in the figure. The point S is at 4.333 seconds. The total distance covered by the body in 6 s is:

A particle starts from the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t = 5s?

A particle starts from origin O from rest and moves with a uniform acceleration along the positive x- axis. Identify all figures that correctly represent the motion qualitatively. (a = acceleration, v = velocity, x = displacement, t = time)

The velocity-time graphs of a car and a scooter are shown in the figure. (i) The difference between the distance travelled by the car and the scooter in $15\text{ s}$ and (ii) the time at which the car will catch up with the scooter are, respectively.

All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.

Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity?

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 $\text{'}t\text{'};$ and that of the second body by $x_2(t)$ after the same time interval. Which of the following graphs correctly describes $(x_1 - x_2)$ as a function of time $\text{'}t\text{'}$?

The displacement-time graph of a moving particle is shown below. The instantaneous velocity of the particle is negative at the point

Which of the following curve does not represent motion in one dimension?