A body is moving according to the equation x=at+bt2ct3 where x = displacement and a, b and c are constants. The acceleration of the body is 

(1) a+2bt 

(2) 2b+6ct 

(3) 2b6ct 

(4) 3b6ct2 

Subtopic:  Acceleration |
 91%
From NCERT
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A particle travels 10 m in first 5 sec and 10m in the next 3 sec. Assuming constant acceleration what is the distance travelled in next 2 sec ?

(1) 8.3 m

(2) 9.3 m

(3) 10.3 m

(4) None of above

Subtopic:  Uniformly Accelerated Motion |
From NCERT
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The distance travelled by a particle is proportional to the squares of time, then the particle travels with  

(1) Uniform acceleration

(2) Uniform velocity

(3) Increasing acceleration

(4) Decreasing velocity

Subtopic:  Uniformly Accelerated Motion |
 75%
From NCERT
PMT - 2000
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Velocity of a particle changes when 

(1) Direction of velocity changes

(2) Magnitude of velocity changes

(3) Both of above

(4) None of the above

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 87%
From NCERT
PMT - 2000
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The motion of a particle is described by the equation u = at, where u is velocity and a is a constant. The distance travelled by the particle in the first 4 seconds 

(1) 4 a

(2) 12 a

(3) 6 a

(4) 8 a

Subtopic:  Uniformly Accelerated Motion |
 67%
From NCERT
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The relation \(3t = \sqrt{3x} + 6\) describes the displacement of a particle in one direction where x is in metres and t in seconds. The displacement, when velocity is zero, is 

1. 24 metres 2. 12 metres
3. 5 metres 4. Zero
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 76%
From NCERT
PMT - 2000
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The average velocity of a body moving with uniform acceleration travelling a distance of 3.06 m is 0.34 ms–1. If the change in velocity of the body is 0.18ms–1 during this time, its uniform acceleration is 

(1) 0.01 ms–2

(2) 0.02 ms–2

(3) 0.03 ms–2

(4) 0.04 ms–2

Subtopic:  Acceleration |
 69%
From NCERT
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Equation of displacement for any particle is s=3t3+7t2+14t+8m. Its acceleration at time t = 1 sec is 

1. 10 m/s2

2. 16 m/s2

3. 25 m/s2

4. 32 m/s2  

Subtopic:  Acceleration |
 90%
From NCERT
PMT - 2000
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The position of a particle moving along the x-axis at certain times is given below :

t (s) 0 1 2 3
x (m) -2 0 6 16

Which of the following describes the motion correctly?  

(1) Uniform, accelerated

(2) Uniform, decelerated

(3) Non-uniform, accelerated

(4) There is not enough data for generalization

Subtopic:  Uniformly Accelerated Motion |
 69%
From NCERT
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Consider the acceleration, velocity and displacement of a tennis ball as it falls to the ground and bounces back. Directions of which of these changes in the process ?

1. Velocity only

2. Displacement and velocity

3. Acceleration, velocity and displacement

4. Displacement and acceleration

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 55%
From NCERT
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