Explore topic-wise MCQs in Mathematics Questions and Answers.

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