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This section includes 8 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 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 b? |
A. | Final velocity |
B. | Initial velocity |
C. | Mid velocity |
D. | Arbitrary velocity |
Answer» C. Mid velocity | |
2. |
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 a? |
A. | Initial position |
B. | Final position |
C. | Mid position |
D. | Any arbitrary position |
Answer» B. Final position | |
3. |
“It is impossible for a particle to move in a straight line so that its velocity varies at the distance from the commencement of motion”. Which one is correct for the given statement? |
A. | The above statement is valid |
B. | The above statement is not valid |
C. | Data inadequate |
D. | Answer does not exist |
Answer» B. The above statement is not valid | |
4. |
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 distance traversed before it comes to rest? |
A. | -173/27 |
B. | 173/27 |
C. | -175/27 |
D. | 175/27 |
Answer» D. 175/27 | |
5. |
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 displacement of the particle at the end of 2 seconds? |
A. | 1 cm |
B. | 2 cm |
C. | 3 cm |
D. | 4 cm |
Answer» D. 4 cm | |
6. |
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 velocity of the particle at the end of 2 seconds? |
A. | 10 cm/sec |
B. | 12 cm/sec |
C. | 14 cm/sec |
D. | 16 cm/sec |
Answer» C. 14 cm/sec | |
7. |
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 will be the distance between the two positions of the particle at two times, when the velocity is instantaneously 0? |
A. | 27/4 cm |
B. | 29/4 cm |
C. | 27/2 cm |
D. | 29/2 cm |
Answer» B. 29/4 cm | |
8. |
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 velocity of the particle after 3 seconds? |
A. | 10 cm/sec |
B. | 20 cm/sec |
C. | 30 cm/sec |
D. | 40 cm/sec |
Answer» D. 40 cm/sec | |