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 second is 

1. 12 m/s

2. 18 m/s

3. 27 m/s

4. 36 m/s

Concept Questions :-

Instantaneous speed and instantaneous velocity
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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. 12ms1

3. 42ms1

4. 9ms1 

Concept Questions :-

Instantaneous speed and instantaneous velocity
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If a body starts from rest and travels 120 cm in the 6th second, then what is the acceleration 

(1) 0.20 m/s2

(2) 0.027 m/s2

(3) 0.218 m/s2

(4) 0.03 m/s2

Concept Questions :-

Uniformly accelerated motion
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If a car at rest accelerates uniformly to a speed of 144 km/h in 20 s. Then it covers a distance of 

(1) 20 m

(2) 400 m

(3) 1440 m

(4) 2880 m

Concept Questions :-

Uniformly accelerated motion
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The position x of a particle varies with time t as x=at2bt3. The acceleration of the particle will be zero at time t equal to 

(1) ab 

(2) 2a3b 

(3) a3b 

(4) Zero 

Concept Questions :-

Acceleration
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If a train travelling at 72 kmph is to be brought to rest in a distance of 200 metres, then its retardation should be

(1) 20 ms–2

(2) 10 ms–2

(3) 2 ms–2

(4) 1 ms–2

Concept Questions :-

Uniformly accelerated motion
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The displacement of a particle starting from rest (at t = 0) is given by s=6t2t3. The time in seconds at which the particle will attain zero velocity again, is  

(1) 2

(2) 4

(3) 6

(4) 8

Concept Questions :-

Instantaneous speed and instantaneous velocity
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Two cars A and B are at rest at same point initially. If A starts with uniform velocity of 40 m/sec and B starts in the same direction with constant acceleration of 4 m/s2, then B will catch A after how much time ?

(1) 10 sec

(2) 20 sec

(3) 30 sec

(4) 35 sec

Concept Questions :-

Instantaneous speed and instantaneous velocity
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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

Concept Questions :-

Instantaneous speed and 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

Concept Questions :-

Uniformly accelerated motion
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