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Q. No.What will be the velocity of the particle if the position of the particle is given by; \(x =2t^{2}\) at \(t=2~\text s?\)
1. \(8~\text{m/s}\)
2. \(4~\text{m/s}\)
3. \(16~\text{m/s}\)
4. \(32~\text{m/s}\)
Subtopic: Instantaneous Speed & Instantaneous Velocity |
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The position-time graph for a particle is parabolic (as shown in the figure).
Choose the corresponding \((v\text-t)\) graph.
Choose the corresponding \((v\text-t)\) graph.
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Graphs |
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A car travels \(4\) km distance with a speed of \(3\) km/hr and next \(4\) km with a speed of \(5\) km/hr. What is the average speed of the car?
1. \({{15}\over{2}}\) km/hr
2. \({{15}\over{4}}\) km/hr
3. \(15\) km/hr
4. \(10\) km/hr
1. \({{15}\over{2}}\) km/hr
2. \({{15}\over{4}}\) km/hr
3. \(15\) km/hr
4. \(10\) km/hr
Subtopic: Average Speed & Average Velocity |
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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. \(\frac{2v_1v_2}{v_1+v_2}\)
2. \(\frac{v_1+v_2}{2}\)
3. \(v_1+v_2\)
4. \(\sqrt{v_1+v_2}\)
1. \(\frac{2v_1v_2}{v_1+v_2}\)
2. \(\frac{v_1+v_2}{2}\)
3. \(v_1+v_2\)
4. \(\sqrt{v_1+v_2}\)
Subtopic: Average Speed & Average Velocity |
92%
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Two identical trains cross each other moving on parallel tracks, opposite in direction. Speed of one of the train is 70 km/hr and second train has a speed of 110 km/hr. If it takes 8 seconds for two trains to cross each other then length of trains is equal to
1. 100 m
2. 200 m
3. 300 m
4. 400 m
1. 100 m
2. 200 m
3. 300 m
4. 400 m
Subtopic: Relative Motion in One Dimension |
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The position \(x\) of a particle moving along the \(x\text-\)axis varies with time \(t\) according to the equation: \(x=2.5t^2.\) What is the speed of the particle at \(t=5\) s?
| 1. | \(5\) m/s | 2. | \(10\) m/s |
| 3. | \(25\) m/s | 4. | \(50\) m/s |
Subtopic: Instantaneous Speed & Instantaneous Velocity |
87%
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An object begins to move along the positive \(x\text-\)direction with an initial speed of \(10~\text{m/s}\) and a constant acceleration of \(2~\text{m/s}^2.\) How much time will it take to reach a speed of \(60~\text{m/s}\)?
| 1. | \(25\) s | 2. | \(20\) s |
| 3. | \(30\) s | 4. | \(15\) s |
Subtopic: Uniformly Accelerated Motion |
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If position of particle is changing with time as r = t2 – 2t (m). Find the velocity at t = 2 second
1. 2 m/s
2. 3 m/s
3. 0 m/s
4. 4 m/s
1. 2 m/s
2. 3 m/s
3. 0 m/s
4. 4 m/s
Subtopic: Instantaneous Speed & Instantaneous Velocity |
92%
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A particle moves from \(A\) to \(B\) via \(C\) with uniform speed of \(\pi\) m/s. The average velocity during the journey is:
| 1. | \(\sqrt{3}\) m/s | 2. | \(\dfrac{\sqrt{3}}{2}\) m/s |
| 3. | \(\dfrac{3\sqrt{3}}{2}\) m/s | 4. | \(2\) m/s |
Subtopic: Average Speed & Average Velocity |
60%
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Given below are two statements:
| Statement I: | We can get displacement from the acceleration-time graph. |
| Statement II: | We can get acceleration from the velocity-time graph. |
| 1. | Both Statement I and Statement II are correct. |
| 2. | Both Statement I and Statement II are incorrect. |
| 3. | Statement I is correct and Statement II is incorrect. |
| 4. | Statement I is incorrect and Statement II is correct. |
Subtopic: Acceleration |
70%
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