Graphical Representation of Motion

The area enclosed by velocity-time graph and time axis by an object moving with uniform motion represents :

The distance travelled by a body in last two seconds of its motion in straight line is what fraction of the total distance covered in $7$ seconds in the given velocity time graph?

The velocity-time graph of an object moving with uniform velocity is

$V^2-S$ graph of the moving body in straight line is as shown in figure. Which among the following is not true?

The displacement-time graph of a body in motion is given as below:

Velocity of body is ( $\mathrm{m} {\mathrm{s}}^{-1}$) :

A body initially at rest start moving when a constant external force F is applied on it. The force F is applied for time t = 0 to time t = T. Which of the following graph represents the variation of the speed (v) of the body with time (t)

The displacement (in m) versus time (in s) graph for a car on a straight road is shown below.

Which of the following statements is true?

The time-displacement curve for a body of mass 1 kg in rectilinear motion is shown below. The curves PQ and RS are parabolas, while QR is a straight line. Column I lists three distinct time intervals, while Column II lists some statements about the motion of the body. For each item in Column I, match all the correct options in Column II.



Codes:

The position-time graph of the $K$ and $L$ and the velocity-time graph of the $M$ vehicle are as in the figure. Accordingly, which of these objects act under the effect of balanced forces?

 Position time graphs of K and L objects moving in parallel paths are shown in the figure given below.

Which of following statements are correct?

1. The periods during which the vehicles are in motion are equal.

2. Once the vehicles are side by side.

3. The displacement of K is greater than that of L.

The average velocity of the bicycle, whose position—time graph is given, is $6$ m/s.

What is the average speed of the bike in m/s?

A train takes $5$minutes to cover a distance of $3 km$ between two stations $P$ and $Q.$Starting from rest at $P,$ it accelerates at a constant rate to a speed of $40km{h}^{-1}$ and maintains this speed until it is brought uniformly to rest at $Q.$If the train takes three times as long to retard as it does to accelerate, then which of following statements
are correct.
$1. a=$$\frac{8}{3}km{h}^{-1}{s}^{-1}$
$2.$ Time to retard $=45sec.$
$3.$Time to retard$=60sec.$

A particle moves in a straight line. It has a velocity of $6 m{s}^{-1}$ when it is subjected to an acceleration of $-3m{s}^{-2}$ for $3$ seconds. It maintains a uniform velocity for $2$ seconds and is then brought to rest in a time of $2$ seconds.
1. Total distance covered$=19.5 m$
2. Acceleration between $5-7$ sec is $1.5 \frac{m}{s^2}.$
3. Magnitude of displacement $0-3$ sec is $4.5 m$.
4. Magnitude of displacement $0-7$ sec is $7.5 m$.
5. Distance average m $0-5$ sec is $13.5 m$.
Which of above statements are correct?

Study the graph and find which of the following is true.

$1. a =$$-2m/s^2$
$2.$ Displacement$=16 m$
$3.$ Distance travelled $=16 m$
$4.$Distance $=34 m$
Which of above statements are correct ?

The velocity-time graphs of the$P$ and $Q$ Vehicles side by side at the time $t_0=0$ are as shown in the figure given below.

Which of the following statements are correct?
$1.$ In the $O-t$interval, $P$ sees $Q$ moving away.
$2.$ In the $2t-3t$ interval, the distance between
them is fixed.
$3.$During their movements,$Q$ is always
ahead.
Which of above statements are correct?

The velocity-time graph of an object .whose motion starts from $0$ with velocity $20 \frac{m}{s}$  in the direction of $+x$ in a linear path like figure $I.$ Study the two graphs.

At what point in the path is the object located $20$ seconds after the start of the motion?

The vehicle $Y$ with constant velocity passes by the vehicle $X,$ which is stopping at time $t_1=0$. At time $t_2$, vehicle $X$accelerates smoothly and reaches vehicle $Y$ at $t_3$. How can speed-time graphs of vehicles be?

The velocity-time graph of a vehicle is like in the figure.

It has average speed in the interval $0-4t$ is $S$. What is the magnitude of its average velocity?

A vehicle moving along a linear road takes the road it will go in $4t.$

Since the velocity-time graph of the vehicle is as shown in the figure, how many$t$ took the vehicle to the first half of the road?

The velocity-time graphs of X and Y vehicles moving in a linear path are as shown in the figure.

Which of following statements are absolutely correct?
$1.$Vehicles move in opposite directions.
$2.$ The amount of displacement of vehicles per unit time is different.
$3.$Vehicles are moving away from each other.