Explore topic-wise MCQs in Mathematics.

This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics 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]<sub>max</sub> = 4a a/3 b
B. [v]<sub>max</sub> = 2a a/3 b
C. [v]<sub>max</sub> = 2a a/3 b
D. [v]<sub>max</sub> = 4a a/3 b
Answer» C. [v]<sub>max</sub> = 2a a/3 b
2.

Two straight railway lines meet at right angles. A train starts from the junction along one line and at the same time instant, another train starts towards the junction from a station on the other line and they move at the same uniform velocity.When will they be nearest to each other?

A. When they are equal distance from the junction
B. When they are in unequal distance from the junction
C. When they form a right angle at the junction
D. Data not sufficient
Answer» B. When they are in unequal distance from the junction
3.

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 2av<sup>2</sup>
B. Moves with retardation 2av<sup>3</sup>
C. Moves with acceleration 2av<sup>3</sup>
D. Moves with acceleration 2av<sup>2</sup>
Answer» C. Moves with acceleration 2av<sup>3</sup>
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/sec<sup>2</sup>
B. 12cm/sec<sup>2</sup>
C. 14cm/sec<sup>2</sup>
D. 16cm/sec<sup>2</sup>
Answer» D. 16cm/sec<sup>2</sup>
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/sec<sup>2</sup>
B. 22 m/sec<sup>2</sup>
C. 24 m/sec<sup>2</sup>
D. 26 m/sec<sup>2</sup>
Answer» C. 24 m/sec<sup>2</sup>
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/sec<sup>2</sup>
B. 30 cm/sec<sup>2</sup>
C. 32 cm/sec<sup>2</sup>
D. 26 cm/sec<sup>2</sup>
Answer» C. 32 cm/sec<sup>2</sup>
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/sec<sup>2</sup>
B. 24 cm/sec<sup>2</sup>
C. 26 cm/sec<sup>2</sup>
D. 28 cm/sec<sup>2</sup>
Answer» B. 24 cm/sec<sup>2</sup>
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/sec<sup>2</sup>
B. 42 cm/sec<sup>2</sup>
C. 43 cm/sec<sup>2</sup>
D. 44 cm/sec<sup>2</sup>
Answer» C. 43 cm/sec<sup>2</sup>