MCQOPTIONS
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MCQOPTIONS
This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A particle starts moving from rest with an acceleration in a fixed direction. If its acceleration at time t be(a – bt2),where a and b are positive constants then which one is correct? |
| A. | [v]max = 4a√a/3√b |
| B. | [v]max = 2a√a/3√b |
| C. | [v]max = 2a√a/3√b |
| D. | [v]max = 4a√a/3√b |
| Answer» C. [v]max = 2a√a/3√b | |
| 2. |
The distance x of a particle moving along a straight line from a fixed point on the line at time t after start is given by t = ax2 + bx + c (a, b, c are positive constants). If v be the velocity of the particle at the instant, then which one is correct? |
| A. | Moves with retardation 2av2 |
| B. | Moves with retardation 2av3 |
| C. | Moves with acceleration 2av3 |
| D. | Moves with acceleration 2av2 |
| Answer» C. Moves with acceleration 2av3 | |
| 3. |
A particle moves in a horizontal straight line under retardation kv3, where v is the velocity at time t and k is a positive constant. If initial velocity be u and x be the displacement at time,then which one is correct? |
| A. | 1/v = 1/u + kx |
| B. | 1/v = 1/u – 2kx |
| C. | 1/v = 1/u – kx |
| D. | 1/v = 1/u + 2kx |
| Answer» B. 1/v = 1/u – 2kx | |
| 4. |
A particle moves along the straight-line OX, starting from O with a velocity 4 cm/sec. At time t seconds its acceleration is (5 + 6t) cm/sec2. What will be the distance from O after 4 seconds? |
| A. | 110 cm |
| B. | 120 cm |
| C. | 130 cm |
| D. | 140 cm |
| Answer» C. 130 cm | |
| 5. |
A particle moves along the straight-line OX, starting from O with a velocity 4 cm/sec. At time t seconds its acceleration is (5 + 6t) cm/sec2. What will be the velocity of the particle from O after 4 seconds? |
| A. | 70 cm/sec |
| B. | 71 cm/sec |
| C. | 72 cm/sec |
| D. | 73 cm/sec |
| Answer» D. 73 cm/sec | |
| 6. |
A particle moves in a straight line and its velocity v at time t seconds is given byv = 3t2 – 4t + 5 cm/second. What will be the acceleration of the particle during first 3 seconds after the start? |
| A. | 10cm/sec2 |
| B. | 12cm/sec2 |
| C. | 14cm/sec2 |
| D. | 16cm/sec2 |
| Answer» D. 16cm/sec2 | |
| 7. |
A particle moves in a straight-line OA; the distance of the particle from O at time t seconds is x ft, where x = a + bt + ct2 (a, b > 0). What will be the nature of motion of the particle when c < 0? |
| A. | Uniform retardation |
| B. | Uniform speed |
| C. | Uniform acceleration |
| D. | Uniform velocity |
| Answer» B. Uniform speed | |
| 8. |
A particle moves in a straight-line OA; the distance of the particle from O at time t seconds is x ft, where x = a + bt + ct2 (a, b > 0). What will be the nature of motion of the particle when c > 0? |
| A. | Uniform retardation |
| B. | Uniform speed |
| C. | Uniform positive acceleration |
| D. | Uniform velocity |
| Answer» D. Uniform velocity | |
| 9. |
A particle moves in a straight-line OA; the distance of the particle from O at time t seconds is x ft, where x = a + bt + ct2 (a, b > 0). What is the meaning of the constant c? |
| A. | Uniform acceleration |
| B. | Non – uniform acceleration |
| C. | Uniform retardation |
| D. | Non – uniform retardation |
| Answer» B. Non – uniform acceleration | |
| 10. |
A particle is moving along the straight line OX and its distance x is in metres from O after t seconds from start is given by x = t3 – t2 – 5t. What will be the acceleration of the particle when it is at a distance 28 metres from O? |
| A. | 20 m/sec2 |
| B. | 22 m/sec2 |
| C. | 24 m/sec2 |
| D. | 26 m/sec2 |
| Answer» C. 24 m/sec2 | |
| 11. |
A particle is moving in a straight line is at a distance x from a fixed point in the straight line at time t seconds, where x = 2t3 – 12t + 11. What is the average acceleration of the particle at the end of 3 seconds? |
| A. | 28 cm/sec2 |
| B. | 30 cm/sec2 |
| C. | 32 cm/sec2 |
| D. | 26 cm/sec2 |
| Answer» C. 32 cm/sec2 | |
| 12. |
A particle is moving in a straight line is at a distance x from a fixed point in the straight line at time t seconds, where x = 2t3 – 12t + 11. What is the acceleration of the particle at the end of 2 seconds? |
| A. | 22 cm/sec2 |
| B. | 24 cm/sec2 |
| C. | 26 cm/sec2 |
| D. | 28 cm/sec2 |
| Answer» B. 24 cm/sec2 | |
| 13. |
A particle is moving in a straight line and its distance s cm from a fixed point in the line after t seconds is given by s = 12t – 15t2 + 4t3. What is the acceleration of the particle after 3 seconds? |
| A. | 41 cm/sec2 |
| B. | 42 cm/sec2 |
| C. | 43 cm/sec2 |
| D. | 44 cm/sec2 |
| Answer» C. 43 cm/sec2 | |