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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A car, moving with a speed of 50 km/hr, can be stopped by brakes after at least 6m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is 

(1) 6m

(2) 12m

(3) 18m

(4) 24m  

Subtopic:  Uniformly Accelerated Motion |
 79%
From NCERT
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A student is standing at a distance of 50 metres from the bus. As soon as the bus begins its motion with an acceleration of 1 ms–2, the student starts running towards the bus with a uniform velocity u. Assuming the motion to be along a straight road, the minimum value of u, so that the student is able to catch the bus is:

1. 5 ms–1

2. 8 ms–1

3. 10 ms–1

4. 12 ms–1

Subtopic:  Uniformly Accelerated Motion |
 73%
From NCERT
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A body A moves with a uniform acceleration a and zero initial velocity. Another body B, starts from the same point moves in the same direction with a constant velocity v. The two bodies meet after a time t. The value of t is 

1. 2va

2. va

3. v2a

4. v2a 

Subtopic:  Uniformly Accelerated Motion |
 66%
From NCERT
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A particle moves along X-axis in such a way that its coordinate X varies with time t according to the equation x=(25t+6t2)m. The initial velocity of the particle is 

(1) –5 m/s

(2) 6 m/s

(3) –3 m/s

(4) 3 m/

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 88%
From NCERT
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A car starts from rest and moves with uniform acceleration 'a' on a straight road from time t = 0 to t = T. After that, a constant deceleration brings it to rest. In this process the average speed of the car is: 

(1) aT4

(2) 3aT2

(3) aT2

(4) aT

Subtopic:  Uniformly Accelerated Motion |
 57%
From NCERT
PMT - 2004
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