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Q. No.The study of motion of objects, without consideration of its cause, is:
1. statics
2. kinematics
3. mechanics
4. dynamics
1. statics
2. kinematics
3. mechanics
4. dynamics
Subtopic: Distance & Displacement |
89%
Level 1: 80%+
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A batsman takes the first run by moving from \(A\) to \(B\) and then goes for the second run. When he reaches \(20~\text{yards}\) from \(B\) to \(D\) (see figure), he was run out. The net displacement of the batsman is:
1. \(2\) yards
2. \(20\) yards
3. \(22\) yards
4. \(42\) yards
1. \(2\) yards
2. \(20\) yards
3. \(22\) yards
4. \(42\) yards
Subtopic: Distance & Displacement |
88%
Level 1: 80%+
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Given below are two statements:
| Assertion (A): | Displacement of a body may be zero, when distance travelled by it is not zero. |
| Reason (R): | The displacement is the longest distance between initial and final position. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Distance & Displacement |
85%
Level 1: 80%+
Hints
An automobile moving at a speed of \(40~\text{km/hr} \) can be brought to rest by applying brakes over a distance of \(40 ~\text{m}.\) If the automobile were instead moving at \(80~\text{km/h},\) what would be its minimum stopping distance (assuming the braking force remains the same and no skidding occurs)?
1. \(150~\text{m}\)
2. \(100~\text{m}\)
3. \(75~\text{m}\)
4. \(160~\text{m}\)
1. \(150~\text{m}\)
2. \(100~\text{m}\)
3. \(75~\text{m}\)
4. \(160~\text{m}\)
Subtopic: Uniformly Accelerated Motion |
84%
Level 1: 80%+
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The numerical ratio of displacement to the distance covered is always:
| 1. | less than one |
| 2. | equal to one |
| 3. | equal to or less than one |
| 4. | equal to or greater than one |
Subtopic: Distance & Displacement |
83%
Level 1: 80%+
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The initial and final positions of a man on the \(x\text-\)axis are given for the following three cases:
| (i) | \((-4~\text m, 6~\text m)\) |
| (ii) | \((4~\text m,-3~\text m)\) |
| (iii) | \((-4~\text m, 2~\text m)\) |
Which of these cases represent a negative displacement?
1. (i)
2. (ii)
3. (iii)
4. (i) and (iii)
Subtopic: Distance & Displacement |
78%
Level 2: 60%+
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A car moving on a straight-line travels in same direction half of the distance with uniform velocity \(v_1\) and other half of the distance with uniform velocity \(v_2.\) The average velocity of the car is equal to:
1. \(\dfrac{2v_1v_2}{v_1+v_2}\)
2. \(\dfrac{v_1+v_2}{2}\)
3. \(v_1+v_2\)
4. \(\sqrt{v_1+v_2}\)
1. \(\dfrac{2v_1v_2}{v_1+v_2}\)
2. \(\dfrac{v_1+v_2}{2}\)
3. \(v_1+v_2\)
4. \(\sqrt{v_1+v_2}\)
Subtopic: Average Speed & Average Velocity |
93%
Level 1: 80%+
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A car travels \(4\text{ km}\) distance with a speed of \(3\text{ km/h}\) and next \(4\text{ km}\) with a speed of \(5\text{ km/h}.\) What is the average speed of the car?
1. \(\dfrac{15}{2}\text{ km/hr}\)
2. \(\dfrac{15}{4}\text{ km/hr}\)
3. \(15\text{ km/hr}\)
4. \(10\text{ km/hr}\)
1. \(\dfrac{15}{2}\text{ km/hr}\)
2. \(\dfrac{15}{4}\text{ km/hr}\)
3. \(15\text{ km/hr}\)
4. \(10\text{ km/hr}\)
Subtopic: Average Speed & Average Velocity |
90%
Level 1: 80%+
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A particle moving in a straight line covers half the distance with speed \(\begin{equation} 6 \mathrm{~m} / \mathrm{s} \end{equation}\). The other half is covered in two equal time intervals with speeds \(\begin{equation} 9 \mathrm{~m} / \mathrm{s} \end{equation}\) and \(\begin{equation} 15 \mathrm{~m} / \mathrm{s} \end{equation}\) respectively. The average speed of the particle during the motion is :
1. \(\begin{equation} 8.8 \mathrm{~m} / \mathrm{s} \end{equation}\)
2. \(\begin{equation} 8 \mathrm{~m} / \mathrm{s} \end{equation}\)
3. \(\begin{equation} 9.2 \mathrm{~m} / \mathrm{s} \end{equation}\)
4. \(\begin{equation} 10 \mathrm{~m} / \mathrm{s} \end{equation}\)
1. \(\begin{equation} 8.8 \mathrm{~m} / \mathrm{s} \end{equation}\)
2. \(\begin{equation} 8 \mathrm{~m} / \mathrm{s} \end{equation}\)
3. \(\begin{equation} 9.2 \mathrm{~m} / \mathrm{s} \end{equation}\)
4. \(\begin{equation} 10 \mathrm{~m} / \mathrm{s} \end{equation}\)
Subtopic: Average Speed & Average Velocity |
82%
Level 1: 80%+
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Buses ply between two towns, \((A,B)\) separated by \(6~\text{km:} \) those going from \(A\) towards \(B\) go at \(20~\text{km/h} \) while those going from \(B\) to \(A\) go at \(30~\text{km/h}.\) If a passenger were to make a round trip from \(A\) to \(B\) and back, without stopping, his average speed will be:
1. \(25~\text{km/h}\)
2. \(24~\text{km/h}\)
3. \(27~\text{km/h}\)
4. \(28~\text{km/h}\)
1. \(25~\text{km/h}\)
2. \(24~\text{km/h}\)
3. \(27~\text{km/h}\)
4. \(28~\text{km/h}\)
Subtopic: Average Speed & Average Velocity |
82%
Level 1: 80%+
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