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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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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