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
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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+at2
- v2=u2+2as
Question and Answer
1. What is the acceleration if the body starts from rest and travels a distance of โsโ m in 2 seconds?
- \(\begin{array}{l}(\frac{2}{3}s)\,m/s^2\end{array} \)
- \(\begin{array}{l}(\frac{3}{2}s)\,m/s^2\end{array} \)
- \(\begin{array}{l}(\frac{1}{3}s)\,m/s^2\end{array} \)
- \(\begin{array}{l}(\frac{s}{2})\,m/s^2\end{array} \)
Answer: (d)
2. What is the ratio of the average acceleration during the intervals OA and AB in the velocity-time graph as shown below?
- ยฝ
- โ
- 1
- 3
Answer: (b) โ
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
- 2ฯR
- 7ฯR
- 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 โ th of the total distance with a speed v1 and โ th of the distance with a speed v2. The average speed is given by
- \(\begin{array}{l}\frac{2v_{1}v_2}{v_{1}+v_2}\end{array} \)
- \(\begin{array}{l}\frac{1}{2}\sqrt{v_1v_2}\end{array} \)
- \(\begin{array}{l}\frac{5v_{1}v_2}{3v_{1}+2v_2}\end{array} \)
- \(\begin{array}{l}\frac{v_{1}+v_2}{2}\end{array} \)
Answer:(c)
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
- ยฝ 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?
- \(\begin{array}{l}\frac{1}{2}(OA+AB)\times BC\end{array} \)
- \(\begin{array}{l}\frac{1}{2}(OA+BC)\times OC\end{array} \)
- \(\begin{array}{l}\frac{1}{2}(OC+AB)\times AD\end{array} \)
- \(\begin{array}{l}\frac{1}{2}(AD+BE)\times OC\end{array} \)
Answer: (c)
13. Which of the following graphs gives the equation
- 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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