# The initial velocity of a particle is u (at t = 0) and the acceleration f is given by at. Which of the following relation is valid  1. $v=u+a{t}^{2}$ 2. $v=u+a\frac{{t}^{2}}{2}$ 3. $v=u+at$ 4. v = u

Subtopic:  Non Uniform Acceleration |
From NCERT
PMT - 1981
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The initial velocity of the particle is 10 m/sec and its retardation is 2 m/sec2. The distance moved by the particle in 5th second of its motion is

(1) 1 m

(2) 19 m

(3) 50 m

(4) 75 m

Subtopic:  Uniformly Accelerated Motion |
59%
PMT - 1976
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A motor car moving with a uniform speed of 20 m/sec comes to stop on the application of brakes after travelling a distance of 10 m. Its acceleration is

(1) 20 m/sec2

(2) –20 m/sec2

(3) –40 m/sec2

(4) +2 m/sec2

Subtopic:  Uniformly Accelerated Motion |
76%
From NCERT
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The velocity of a body moving with a uniform acceleration of 2 m/sec2 is 10 m/sec. Its velocity after an interval of 4 sec is

(1) 12 m/sec

(2) 14 m/sec

(3) 16 m/sec

(4) 18 m/sec

Subtopic:  Uniformly Accelerated Motion |
84%
From NCERT
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A particle starting from rest moving with constant acceleration travels a distance x in first 2 seconds and a distance y in next two seconds, then

(1) y = x

(2) y = 2x

(3) y = 3x

(4) y = 4x

Subtopic:  Uniformly Accelerated Motion |
53%
From NCERT
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The initial velocity of a body moving along a straight line is 7 m/s. It has a uniform acceleration of 4 m/s2. The distance covered by the body in the 5th second of its motion is

(1) 25 m

(2) 35 m

(3) 50 m

(4) 85 m

Subtopic:  Uniformly Accelerated Motion |
82%
PMT - 1994
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The velocity of a body depends on time according to the equation $v=20+0.1{t}^{2}$. The body is undergoing

1. Uniform acceleration

2. Uniform retardation

3. Non-uniform acceleration

4. Zero acceleration

Subtopic:  Non Uniform Acceleration |
66%
From NCERT
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Which of the following four statements is false?

(1) A body can have zero velocity and still be accelerated.

(2) A body can have a constant velocity and still have a varying speed.

(3) A body can have a constant speed and still have a varying velocity.

(4) The direction of the velocity of a body can change when its acceleration is constant.

Subtopic:  Average Speed & Average Velocity |
60%
From NCERT
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A particle moving with a uniform acceleration travels 24 m and 64 m in the first two consecutive intervals of 4 sec each. Its initial velocity is

(1) 1 m/sec

(2) 10 m/sec

(3) 5 m/sec

(4) 2 m/sec

Subtopic:  Uniformly Accelerated Motion |
From NCERT
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The position of a particle moving in the XY plane at any time t is given by $x=\left(3{t}^{2}-6t\right)$ metres. Select the correct statement about the moving particle from the following.

1. The acceleration of the particle is zero at t = 0 second
2. The velocity of the particle is zero at t = 0 second
3. The velocity of the particle is zero at t = 1 second
4. The velocity and acceleration of the particle are never zero

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
72%
From NCERT
PMT - 1995
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