Two cars P and Q start from a point at the same time in a straight line and their positions are represented by xpt=at+bt2 and xQ(t)=ft-t2. At what time do the cars have the same velocity?

(1) a-f1+b

(2)a+f2b-1

(3) a+f21+b

(4) f-a21+b

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 75%
From NCERT
NEET - 2016
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If the velocity of a particle is v=At+Bt2, where A and B are constants, then the distance travelled by it between 1s and 2s is?

1. 3A+7B
2. 3A2+7B3
3. A2+B3
4. A3+B2

Subtopic:  Distance & Displacement |
 82%
From NCERT
NEET - 2016
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A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x)=βx-2n where, β and n are constants and x is the position of the particle. The acceleration of the particle as a function of x, is given by

1. -2nβ2x-2n-1

2. -2nβ2x-4n-1

3. -2β2x-2n+1

4. 2nβ2e-4n+1

Subtopic:  Acceleration |
 62%
From NCERT
NEET - 2015
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A stone falls under gravity. It covers distances h1, hand h3 in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h1, h2, and h3 is

1. h1=2h2=3h3

2. h1=h2/3=h3/5

3. h2=3h1 and h3=3h2

4. h1=h2=h3

Subtopic:  Uniformly Accelerated Motion |
 75%
From NCERT
NEET - 2013
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The motion of a particle along a straight line is described by equation
         \(x=8+12 t-t^3\)

where \(x\) is in metre and t is in second. The retardation of the particle when its velocity becomes zero is:

1. \(24 \mathrm{~ms}^{-2} \) 2. Zero
3. \( 6 \mathrm{~ms}^{-2} \) 4. \(12 \mathrm{~ms}^{-2}\)
Subtopic:  Non Uniform Acceleration |
 73%
From NCERT
NEET - 2012
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A boy standing at the top of a tower of 20 m height drops a stone. Assuming g=10 ms-2, the velocity with which it hits the ground will be:
1. 20 m/s                                         
2. 40 m/s
3. 5 m/s                                           
4. 10 m/s

Subtopic:  Uniformly Accelerated Motion |
 90%
From NCERT
NEET - 2011
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A particle covers half of its total distance with speed v1 and the rest half distance with speed v2. Its average speed during the complete journey is 

(1) v1v2v1+v2                                         

(2) 2v1v2v1+v2

(3) 2v12v22v12+v22                                         

(4)  v1+v22

Subtopic:  Average Speed & Average Velocity |
 86%
From NCERT
NEET - 2011
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A ball is dropped from a high rise platform at t=0 starting from rest. After 6s another ball is thrown downwards from the same platform with a speed v. The two balls meet at t=18 s. What is the value of v? (take g=10 ms-2)

1. 75 ms-1                                   2. 55 ms-1

3. 40 ms-1                                   4. 60 ms-1

Subtopic:  Relative Motion in One Dimension |
 61%
From NCERT
NEET - 2010
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A particle moves a distance x in time t according to equation x=t+5-1The acceleration of the particle is proportional to, 

1. velocity3/2                                         
2. distance2
3. distance-2                                         
4. velocity2/3

Subtopic:  Acceleration |
 63%
From NCERT
NEET - 2010
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A bus is moving with a speed of 10 ms -1 on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of km from the scooterist, with what minimum speed should the scooterist chase the bus?

1. 20 ms-1

2. 40 ms-1

3. 25 ms-1                                         

4. 10 ms-1

Subtopic:  Relative Motion in One Dimension |
 74%
From NCERT
NEET - 2009
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