The motion of a particle is described by the equation x=a+bt2 where a = 15 cm and b = 3 cm/s2. Its instantaneous velocity at time 3 sec will be 

(1) 36 cm/sec

(2) 18 cm/sec

(3) 16 cm/sec

(4) 32 cm/sec

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
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A body travels for 15 sec starting from rest with constant acceleration. If it travels distances S1, S2 and S3 in the first five seconds, second five seconds and next five seconds respectively the relation between S1, S2 and S3 is 

(1) S1=S2=S3

(2) 5S1=3S2=S3

(3) S1=13S2=15S3  

(4) S1=15S2=13S3

Subtopic:  Uniformly Accelerated Motion |
 69%
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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%
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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%
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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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