When an object changes its position with respect to its surroundings with time, it is called a motion.

*There are three types of motion as follows:*

- One dimensional motion
- Two-dimensional motion
- Three-dimensional motion

*There are different graphs of motion as follows:*

- Displacement-Time Graph
- Velocity-Time Graph
- Acceleration-Time Graph

*Following are the equations of uniformly accelerated motion:*

- v= u+at
- s=ut+at
^{2} - v
^{2}=u^{2}+2as

**Question and Answer**

1. What is the acceleration if the body starts from rest and travels a distance of â€˜sâ€™ m in 2 seconds?

- \((\frac{2}{3}s)\,m/s^2\)
- \((\frac{3}{2}s)\,m/s^2\)
- \((\frac{1}{3}s)\,m/s^2\)
- \((\frac{s}{2})\,m/s^2\)

**Answer: **(d)**\((\frac{s}{2})\,m/s^2\)**

2. What is the ratio of the average acceleration during the intervals OA and AB in the velocity-time graph as shown below?

- Â½
- â…“
- 1
- 3

**Answer:** (b) â…“

3. A body covers 16, 18, 20, 22 meters in 5th, 6th, 7th and 8th seconds respectively. Which of the following statements is true about the body?

- The body moves with a uniform velocity from rest
- The body from rest moves with uniform acceleration
- The body moves with an initial velocity and moves with uniform acceleration
- The body moves with an initial velocity and then moves with uniform velocity

**Answer:** (c) The body moves with an initial velocity and moves with uniform acceleration

4. What can be said about the displacement of the body if it covers a distance of zero?

- It is zero
- It cannot be zero
- It may or may not be zero
- It is negative

**Answer:** (a)** **It is zero

5. An athlete finishes a round of circular track of radius R in 40 sec. What is his displacement at the end of 2 min 20 sec?

- 2R
- 2Ï€R
- 7Ï€R
- Zero

**Answer: **(d)**2R**

6. Which of the following is not possible for a body in uniform motion?

- (c) Both (a) & (b)
- (d) None of the above

**Answer:** (c) Both (a) & (b)

7. If a car travels â…– th of the total distance with a speed v_{1} and â…— th of the distance with a speed v_{2}. The average speed is given by

- \(\frac{2v_{1}v_2}{v_{1}+v_2}\)
- \(\frac{1}{2}\sqrt{v_1v_2}\)
- \(\frac{5v_{1}v_2}{3v_{1}+2v_2}\)
- \(\frac{v_{1}+v_2}{2}\)

**Answer:**(c)** **\(\frac{5v_{1}v_2}{3v_{1}+2v_2}\)

8. A man leaves home for a cycle ride and comes back home after an half-an-hour ride covering a distance of one km. What is the average velocity of the ride?

- 10 kms
^{-1} - Â½ kms
^{-1} - 2 kms
^{-1} - Zero

**Answer:** (d)** **Zero

9. A bird flies with a speed of 10 km/hr and a car moves with uniform speed 8 km/hr. Both start from B to A at the same instant (BA = 40 km). The bird after reaching A flies back immediately to meet the approaching car. Once it reaches the car, it flies back to A. The bird repeats this until both the car and the bird reach A simultaneously. What is the total distance flown by the bird?

- 80 km
- 50 km
- 40 km
- 30 km

**Answer: **(b)** **50 km

10. Elephants A, B and C move with a constant speed in the same direction along a straight line as shown in the figure. The speed of the elephant A is 5 m/s and the speed of the elephant C is 10 m/s. Initially, the separation between A and B is d and between B and C is also d. When B catches C, the separation between A and C becomes 3d. What will the speed of B be?

- 5 m/s
- 7.5 m/s
- 15 m/s
- 20 m/s

**Answer: **(c) 15 m/s

11. Which of the following remains constant if a body travels with constant acceleration?

- Time
- Velocity
- Displacement
- None of the above

**Answer: **(d)** **None of the above

12. Given here is a velocity-time graph of the motion of a body. What is the distance travelled by the body during the motion?

- \(\frac{1}{2}(OA+AB)\times BC\)
- \(\frac{1}{2}(OA+BC)\times OC\)
- \(\frac{1}{2}(OC+AB)\times AD\)
- \(\frac{1}{2}(AD+BE)\times OC\)

**Answer:** (c)** **\(\frac{1}{2}(OC+AB)\times AD\)

13. Which of the following graphs gives the equation \(x=v_{0}t+\frac{1}{2}at^2\)

- None of the above

**Answer:** (b)** **

14. What does the displacement of the particle shown in the graph indicate?

- It indicates a constant velocity
- It indicates a constant acceleration
- It indicates that the particle starts with a constant velocity and is accelerated
- It indicates that the motion is retarded and the particle stops

**Answer:** (d)** **It indicates that the motion is retarded and the particle stops

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