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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An object accelerates from rest to a velocity of 27.5 m/s in 10 sec . Then find the distance covered by the object in the next 10 sec:

(1) 550 m

(2) 137.5 m

(3) 412.5 m

(4) 275 m

Subtopic:  Uniformly Accelerated Motion |
 57%
From NCERT
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If the velocity of a particle is given by v=(18016x)1/2 m/s, then its acceleration will be: 

1. Zero

2. 8 m/s2

3. – 8 m/s2

4. 4 m/s

Subtopic:  Acceleration |
 68%
From NCERT
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The displacement of a particle is proportional to the cube of time elapsed. How does the acceleration of the particle depends on time obtained 

(1) at2

(2) at4

(3) at3

(4) at 

Subtopic:  Acceleration |
 80%
From NCERT
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Starting from rest, acceleration of a particle is a=2(t1). The velocity of the particle at t=5s is:

1.  15 m/sec
2.  25 m/sec
3.  5 m/sec
4.  None of these

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 77%
From NCERT
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Speed of two identical cars are u and 4u at a specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is:

(1) 1 : 1

(2) 1 : 4

(3) 1 : 8

(4) 1 : 16

Subtopic:  Acceleration |
 77%
From NCERT
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A body is moving with uniform acceleration describes 40 m in the first 5 sec and 65 m in the next 5 sec. Its initial velocity will be:

(1) 4 m/s

(2) 2.5 m/s

(3) 5.5 m/s

(4) 11 m/s 

Subtopic:  Uniformly Accelerated Motion |
 68%
From NCERT
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The displacement x of a particle varies with time t, x=aeαt+beβt, where a,b,α and β are positive constants. The velocity of the particle will 

1. Go on decreasing with time
2. Be independent of α and β
3. Drop to zero when α = β
4. Go on increasing with time

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 52%
From NCERT
PMT - 2005
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