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 |
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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 |
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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%
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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 |
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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 |
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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%
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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 |
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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 |
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The displacement of a particle, moving in a straight line, is given by s=2t2+2t+4 where s is in metres and t in seconds. The acceleration of the particle is 

(1) 2 m/s2

(2) 4 m/s2

(3) 6 m/s2

(4) 8 m/s2

Subtopic:  Acceleration |
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PMT - 2001
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A body A starts from rest with an acceleration a1. After 2 seconds, another body B starts from rest with an acceleration a2. If they travel equal distances in the 5th second, after the start of A, then the ratio a1: a2  is equal to:

(1) 5: 9

(2) 5: 7

(3) 9: 5

(4) 9: 7

Subtopic:  Uniformly Accelerated Motion |
 60%
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AIIMS - 2001
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