The displacement \(x\) of a particle moving in one dimension under the action of a constant force is related to time t by the equation t = x + 3, where \(x\) is in metres and \(t\) is in seconds. What is the displacement of the particle from t = 0 s to t = 6 s?

1. \(0\)

2. \(12\) m

3. \(6\) m

4. \(18\) m

Subtopic:  Distance & Displacement |
 58%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The acceleration \(a\) (in ms-2) of a body, starting from rest varies with time \(t\) (in \(\mathrm{s}\)) as per the equation \(a=3t+4.\) The velocity of the body at time \(t=2\) \(\mathrm{s}\) will be:
1. \(10\) ms-1
2. \(18\) ms-1
3. \(14\) ms-1
4. \(26\) ms-1

Subtopic:  Non Uniform Acceleration |
 71%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A point moves in a straight line under the retardation av2. If the initial velocity is \(\mathrm{u},\) the distance covered in \(\mathrm{t}\) seconds is:
1. aut
2. 1aln aut
3. 1aln 1+aut
4. a ln aut

Subtopic:  Non Uniform Acceleration |
 56%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

advertisementadvertisement

The relation between time and distance is given by t=αx2+βx, where α and β are constants. The retardation, as calculated based on this equation, will be (assume v to be velocity):
1. 2αv3
2. 2βv3
3. 2αβv3
4. 2β2v3

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 52%
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints

The displacement of a particle is given by y=a+bt+ct2dt4. The initial velocity and acceleration are, respectively:

1. \(\mathrm{b}, ~\mathrm{-4d}\) 2. \(\mathrm{-b},~ \mathrm{2c}\)
3. \(\mathrm{b}, ~\mathrm{2c}\) 4. \(\mathrm{2c}, ~\mathrm{-2d}\)
Subtopic:  Non Uniform Acceleration |
 81%
From NCERT
PMT - 1999
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The acceleration ‘a’ in m/s2 of a particle is given by a=3t2+2t+2 where t is the time. If the particle starts out with a velocity, u = 2 m/s at t = 0, then the velocity at the end of 2 seconds will be:

1. 12 m/s

2. 18 m/s

3. 27 m/s

4. 36 m/s

Subtopic:  Acceleration |
 73%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

advertisementadvertisement

A particle moves along a straight line such that its displacement at any time t is given by S=t36t2+3t+4 metres. The velocity when the acceleration is zero is:

1. 4 ms-1 2. −12 ms−1
3. 42 ms−1 4. −9 ms−1
Subtopic:  Acceleration |
 81%
From NCERT
PMT - 1994
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The position \(x\) of a particle varies with time \(t\) as \(x=at^2-bt^3\). The acceleration of the particle will be zero at time \(t\) equal to:

1. \(\dfrac{a}{b}\) 2. \(\dfrac{2a}{3b}\)
3. \(\dfrac{a}{3b}\) 4. zero
 
Subtopic:  Acceleration |
 84%
From NCERT
PMT - 1997
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A student is standing at a distance of 50 metres from the bus. As soon as the bus begins its motion with an acceleration of 1 ms–2, the student starts running towards the bus with a uniform velocity u. Assuming the motion to be along a straight road, the minimum value of u, so that the student is able to catch the bus is:

1. 5 ms–1

2. 8 ms–1

3. 10 ms–1

4. 12 ms–1

Subtopic:  Uniformly Accelerated Motion |
 73%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

advertisementadvertisement

If the velocity of a particle is given by v=(18016x)1/2 m/s, then its acceleration will be: 

1. Zero

2. 8 m/s2

3. – 8 m/s2

4. 4 m/s

Subtopic:  Acceleration |
 67%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
Links
To view explanation, please take trial in the course.
NEET 2025 - Target Batch