Distance and Displacement

Q. A boy starts from his house and travels 5km to reach the market. After purchasing he returns to his house. Find the displacement of the boy.

Q. In a long distance race, the athletes were expected to take four rounds of the track such that the line of finish was same as the line of start. Suppose the length of the track was 200 m. Is the displacement of an athlete and the distance moved by him at the end of the race equal?

1. Yes, both have value of 800 m
2. None of the above
3. No
4. Yes, both have value of 0 m

Q. As per Hindus Mythology, in Mahabharata, the great Warrior BHIMA has capacity to throw Elephants into the space very far away from the surface of Earth. On the surface of Earth, he was able to provide minimum velocity for this purpose, i.e. 11.2 km s-1. (a) What is the name of the velocity provided by BHIMA to throw the elephants? (b) If He had thrown one elephant with the velocity of 20 km s-1, the velocity of the elephant when it had crossed the Gravitational field of Earthwas zero or not?Explain. (c) His one of the enemies also had thrown one horse, did the velocity required for that purpose was less or more than 11.2 kms-1. (d) On Mars, the acceleration of gravity is 1/3 of ‘g’ on Earth and Radius of Mars is 1/3 of Re. What velocity would be required by the BHIMA on Mars to throw one elephant away from its Gravitational field? (e) Calculate the orbital velocity of a satellite, which is revolving around the Earth very close to its surface, using 11.2 km s-1.

Q. A wheel of radius $1\text{m}$ rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of the wheel initially in contact with the ground is

1. $\sqrt{2}\pi$
2. $\sqrt{{\pi }^2+4}$
3. $\pi$
4. $2\pi$

Q. An insect is taking rounds around a triangle in anti-cloclwise direction with a speed of $1m/s$. The insect starts from A at t = 0. Find its displacement at t = 17 sec.

1. $\sqrt{13}$ m
2. 5 m
3. 12 m
4. zero

Q. A point $P$ is the contact point of a wheel on ground which rolls on ground without slipping. The values of displacement of the point $P$ when wheel completes half of rotation (if radius of wheels is $1m$)

1. $2m$
2. $\sqrt{{\pi }^2+4}m$
3. $\pi m$
4. $\sqrt{{\pi }^2+2}m$

Q. The magnitude of displacement is equal to the distance covered in a given interval of time if the particle

1. Moves with constant acceleration along any path
2. Moves with constant speed
3. Moves in the same direction with constant velocity
4. None of these

Q. Can two vectors of different magnitudes be combined to give a zero displacement resultant?

1. Yes
2. No
3. Only if they have equal magnitude
4. Both B and C

Q.

Sir it is said that"path length of travel is useful in determining"

1)how long a journey might take,

2)wear and tear of a vehicle.

Sir can you please explain how ?

Q. An insect is taking rounds around a triangle in anti-cloclwise direction with a speed of $1m/s$. The insect starts from A at t = 0. Find its displacement at t = 17 sec.

1. 12 m
2. zero
3. $\sqrt{13}$ m
4. 5 m

Q. Assertion :Statement-I : Adding a scalar to a vector of the same dimensions is a meaningful algebraic operation.
Reason: Statement-II : The displacement can be added with distance.

1. Both Statement-I and Statement-II are false.
2. Statement-I is true, Statement-II is false.
3. Statement-I is true, Statement-II is true ; Statement-II is NOT a correct explanation for Statement-I.
4. Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I.

Q. State whether given statement is True or False.
The displacement of a moving object in a given interval of time is zero. Then, the distance travelled by the object will also be zero.

1. True
2. False

Q. Which of the following statements contains a reference to displacement?
I. The town is a five-mile drive.
II. The town sits at an altitude of 940 m.
III. The town is ten miles north of the palace on Stanford road, following a straight path.

1. III only
2. II and III only
3. I, II, and III
4. I and III only
5. I only

Q. 'I kept searching the water, hoping that someone would surface soon.' Did anyone come to the surface? Why?

Q. An insect is taking rounds around a triangle in anti-cloclwise direction with a speed of $1m/s$. The insect starts from A at t = 0. Find its displacement at t = 17 sec.

1. 12 m
2. zero
3. $\sqrt{13}$ m
4. 5 m

Q. A cyclist moves from a certain point X and goes round a circle of radius $r$ and reaches Y which is exactly at the other side of the circle of the point X as shown in the given figure. The displacement of the cyclist would be

1. $2\pi r$
2. $\pi r$
3. $\frac{2\pi }{r}$
4. $2r$

Q. A particle is projected upwards with an initial velocity of 55 m/s the distance travelled by it in its 6th second of its motion

Q. On which of the following are slow movements in the earth’s interior dependent?

1. Landforms
2. Velocity
4. Direction

Q. Give answer in one word:
Displacement is which quantity in vectors algebra?

Q. Displacement of block upto that instant. (g= $10m/s^2$).

1. 4 m
2. 2 m
3. 6 m
4. 5 m