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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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 |
 90%
From NCERT
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%
From NCERT
AIIMS - 2001
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The velocity of a bullet is reduced from 200m/s to 100m/s while travelling through a wooden block of thickness 10cm. The retardation, assuming it to be uniform, will be  

(1) 10×104 m/s2

(2) 12×104 m/s2

(3) 13.5×104 m/s2

(4) 15×104 m/s

Subtopic:  Uniformly Accelerated Motion |
 81%
From NCERT
AIIMS - 2001
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A particle starts from rest, accelerates at 2 m/s2 for 10s and then goes for constant speed for 30s and then decelerates at 4 m/s2 till it stops. What is the distance travelled by it?

(1) 750 m

(2) 800 m

(3) 700 m

(4) 850 m

Subtopic:  Acceleration |
 70%
From NCERT
AIIMS - 2002
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The engine of a motorcycle can produce a maximum acceleration 5 m/s2. Its brakes can produce a maximum retardation 10 m/s2. What is the minimum time in which it can cover a distance of 1.5 km?

(1) 30 sec

(2) 15 sec

(3) 10 sec

(4) 5 sec

Subtopic:  Acceleration |
 54%
From NCERT
PMT - 2002
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