# A point moves with uniform acceleration and v1, v2 and v3 denote the average velocities in the three successive intervals of time t1, t2 and t3. Which of the following relations is correct ? (1) $\left({v}_{1}-{v}_{2}\right):\left({v}_{2}-{v}_{3}\right)=\left({t}_{1}-{t}_{2}\right):\left({t}_{2}+{t}_{3}\right)$ (2) $\left({v}_{1}-{v}_{2}\right):\left({v}_{2}-{v}_{3}\right)=\left({t}_{1}+{t}_{2}\right):\left({t}_{2}+{t}_{3}\right)$ (3) $\left({v}_{1}-{v}_{2}\right):\left({v}_{2}-{v}_{3}\right)=\left({t}_{1}-{t}_{2}\right):\left({t}_{1}-{t}_{3}\right)$ (4) $\left({v}_{1}-{v}_{2}\right):\left({v}_{2}-{v}_{3}\right)=\left({t}_{1}-{t}_{2}\right):\left({t}_{2}-{t}_{3}\right)$

Subtopic:  Uniformly Accelerated Motion |
51%
From NCERT
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The acceleration of a moving body can be found from:

(1) Area under the velocity-time graph

(2) Area under the distance-time graph

(3) Slope of the velocity-time graph

(4) Slope of the distance-time graph

Subtopic:  Graphs |
75%
From NCERT
PMT - 1981
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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%
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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%
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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%
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