# A body starts from rest. What is the ratio of the distance travelled by the body during the 4th and 3rd second  (1) $\frac{7}{5}$ (2) $\frac{5}{7}$ (3) $\frac{7}{3}$ (4) $\frac{3}{7}$

Subtopic:  Uniformly Accelerated Motion |
86%
PMT - 1993
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The acceleration $$a$$ in m/s2 of a particle is given by $a=3{t}^{2}+2t+2$ where t is the time. If the particle starts out with a velocity, $$u=2$$ m/s at t = 0, then the velocity at the end of $$2$$ seconds will be:
1. $$12$$ m/s
2. $$18$$ m/s
3. $$27$$ m/s
4. $$36$$ m/s

Subtopic:  Acceleration |
73%
From NCERT
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A particle moves along a straight line such that its displacement at any time $$t$$ is given by $$S = t^{3} - 6 t^{2} + 3 t + 4$$ metres. The velocity when the acceleration is zero is:

 1 $$4$$ ms-1 2 $$-12$$ ms−1 3 $$42$$ ms−1 4 $$-9$$ ms−1
Subtopic:  Acceleration |
81%
From NCERT
PMT - 1994
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If a body starts from rest and travels 120 cm in the 6th second, then what is the acceleration

(1) 0.20 m/s2

(2) 0.027 m/s2

(3) 0.218 m/s2

(4) 0.03 m/s2

Subtopic:  Uniformly Accelerated Motion |
80%
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If a car at rest accelerates uniformly to a speed of 144 km/h in 20 s. Then it covers a distance of

(1) 20 m

(2) 400 m

(3) 1440 m

(4) 2880 m

Subtopic:  Uniformly Accelerated Motion |
79%
From NCERT
PMT - 1997
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The position $$x$$ of a particle varies with time $$t$$ as $$x=at^2-bt^3$$. The acceleration of the particle will be zero at time $$t$$ equal to:

 1 $$\dfrac{a}{b}$$ 2 $$\dfrac{2a}{3b}$$ 3 $$\dfrac{a}{3b}$$ 4 zero
Subtopic:  Acceleration |
85%
From NCERT
PMT - 1997
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If a train travelling at 72 kmph is to be brought to rest in a distance of 200 metres, then its retardation should be

(1) 20 ms–2

(2) 10 ms–2

(3) 2 ms–2

(4) 1 ms–2

Subtopic:  Uniformly Accelerated Motion |
82%
From NCERT
PMT - 2004
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The displacement of a particle starting from rest (at t = 0) is given by $s=6{t}^{2}-{t}^{3}$. The time in seconds at which the particle will attain zero velocity again, is

(1) 2

(2) 4

(3) 6

(4) 8

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
80%
From NCERT
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Two cars A and B are at rest at the same point initially. If A starts with uniform velocity of 40 m/sec and B starts in the same direction with a constant acceleration of 4 m/s2, then B will catch A after how much time?

(1) 10 sec

(2) 20 sec

(3) 30 sec

(4) 35 sec

Subtopic:  Uniformly Accelerated Motion |
58%
From NCERT
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The motion of a particle is described by the equation $x=a+b{t}^{2}$ where a = 15 cm and b = 3 cm/s2. Its instantaneous velocity at time 3 sec will be

(1) 36 cm/sec

(2) 18 cm/sec

(3) 16 cm/sec

(4) 32 cm/sec

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
90%
From NCERT
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