Distance vs. Displacement

Q.

A body starting from rest moves with uniform acceleration. The distance covered by the body in time $t$ is proportional to

1. $\sqrt{t}$

2. $t^{\frac{3}{2}}$

3. $t^{\frac{2}{3}}$

4. $t^2$

Q. For a displacement-time graph given below, what is the required nature of acceleration-time graph?

Q. Find the velocity from 0 to 5 s, for a moving particle whose displacement-time graph is shown below.

1. 0 ${\text{ms}}^{-1}$
2. 5 ${\text{ms}}^{-1}$
3. 2.5 ${\text{ms}}^{-1}$
4. 4 ${\text{ms}}^{-1}$

Q.

On the acceleration-time graph, a horizontal line indicates:

Q. Identify the scalar quantity.​

1. Displacement
2. Distance
3. Velocity
4. Acceleration​

Q.

A boy walks from A to B and then to C. After reaching C, he takes a U-turn to B and at last again a U-turn from B to reach C as shown in the figure. Calculate the displacement of the boy in this case.

1. $45m$
2. $23m$
3. $60m$
4. $50m$

Q.

Use the following information to answer the next question.

Three statements about scalars and vectors:

I. Vectors having different units cannot be multiplied with each other.

II. Two vectors are considered to be equal if they are of equal magnitude and have the same direction.

III. The multiplication of a scalar with a vector can give a scalar quantity.

Among the given statements,

1. only III is correct

2. I and II are correct

3. I and III are correct

4. only II is correct

Q. For a displacement-time graph given below, what is the required nature of acceleration-time graph?

[2 Mark]

Q. Mike travels from point A to point B. Calculate his distance and displacement.

Q. why distance is not a vector quantity?explain.

Q. The ratio of the distance to displacement is always ______.

1. equal to or lesser than 1
2. equal to 1
3. equal to or greater than 1
4. equal to 0

Q. has both magnitude and direction.

1. Speed
2. Displacement
3. Distance

Q.

A farmer movers along the boundary of a square field of side 10m in 40seconds. What will be the distance and displacement of farmer at the end of 2 min 20 sec from him initial position?

Q. Which of the pairs of initial and final positions along the x-axis would fetch a net negative displacement?

1. -4 m, +5 m
2. -3 m, +7 m
3. -7 m, -2 m
4. +3 m, -5 m

Q.

A bus starting from rest moves with a uniform acceleration of $0.1m/s^2$ for 2 min. Find the required speed.

Q. The hour hand of a clock is $4\text{cm}$ long. What is the distance and displacement that its tip would cover in $12$ hours?

1. $28.28\text{cm};25.14\text{cm}$
2. $25.14\text{cm};0\text{cm}$
3. $25.14\text{cm};28.28\text{cm}$
4. $0\text{cm};25.14\text{cm}$

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

1. D
2. F
3. C
4. E

Q. A person walks along an east-west street and a graph of his displacement from home is shown in figure. His average velocity for the whole time interval is

1. $0m{s}^{-1}$
2. $8.4m{s}^{-1}$
3. $23m{s}^{-1}$
4. None of above

Q. A body moves at a speed of $20km{h}^{-1}$ for the first $2$ hours. After that, it moves at the speed of $30km{h}^{-1}$ for the next 1 hour. What is the total distance travelled by the body?

1. $60km$
2. $70km$
3. $80km$
4. $90km$

Q. The displacement time graph of a moving particle is shown in the figure. The instantaneous velocity of the particle is negative at the point:

1. D
2. F
3. E
4. C

Q.

If the speed of a moving object is $5kmph$ then, how much distance will it cover in $10$ hours?

1. $60km$
2. $40km$
3. $25km$
4. $50km$

Q. If the time taken by a train moving at $100km{h}^{-1}$ to cover a certain distance is $0.5$ hours, what should be the speed of the train in order to cover the same distance in $0.2$ hours?

1. $250km{h}^{-1}$
2. $350km{h}^{-1}$
3. $500km{h}^{-1}$
4. $450km{h}^{-1}$

Q. Rate of change of displacement is called ________.

1. speed
2. velocity
3. distance
4. acceleration

Q. A boy moves along a circular path of perimeter $30m$ and comes back to the point where he started the journey. What is the distance covered and the displacement of the boy?

1. Distance = $0m$
   Displacement = $0m$
2. Distance = $30m$
   Displacement = $0m$
3. Distance = $30m$
   Displacement = $30m$
4. Distance = $0m$
   Displacement = $30m$

Q. Which of the following unit is used to measure length?

1. Metre
2. Gram
3. Second
4. Pound

Q.

Explain the relationship between distance, time, and speed with an equation.

Q. has both magnitude and direction.

1. Displacement
2. Speed
3. Distance

Q.

The following time-displacement graph (fig.) represents

1. zero velocity

2. constant velocity

3. decreasing velocity

4. increasing velocity

Q. How to know if a Quantity follows the vector laws?

Q. has both magnitude and direction.

1. Speed
2. Displacement
3. Distance