Two cars A and B are at rest at same point initially. If A starts with uniform velocity of 40 m/sec and B starts in the same direction with 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

Concept Questions :-

Instantaneous speed and instantaneous velocity
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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

Concept Questions :-

Instantaneous speed and instantaneous velocity
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A body travels for 15 sec starting from rest with constant acceleration. If it travels distances S1, S2 and S3 in the first five seconds, second five seconds and next five seconds respectively the relation between S1, S2 and S3 is

(1) ${S}_{1}={S}_{2}={S}_{3}$

(2) $5{S}_{1}=3{S}_{2}={S}_{3}$

(3) ${S}_{1}=\frac{1}{3}{S}_{2}=\frac{1}{5}{S}_{3}$

(4) ${S}_{1}=\frac{1}{5}{S}_{2}=\frac{1}{3}{S}_{3}$

Concept Questions :-

Uniformly accelerated motion
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A body is moving according to the equation $x=at+b{t}^{2}-c{t}^{3}$ where x = displacement and a, b and c are constants. The acceleration of the body is

(1) $a+2bt$

(2) $2b+6ct$

(3) $2b-6ct$

(4) $3b-6c{t}^{2}$

Concept Questions :-

Acceleration
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A particle travels 10m in first 5 sec and 10m in next 3 sec. Assuming constant acceleration what is the distance travelled in next 2 sec ?

(1) 8.3 m

(2) 9.3 m

(3) 10.3 m

(4) None of above

Concept Questions :-

Uniformly accelerated motion
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The distance travelled by a particle is proportional to the squares of time, then the particle travels with

(1) Uniform acceleration

(2) Uniform velocity

(3) Increasing acceleration

(4) Decreasing velocity

Concept Questions :-

Uniformly accelerated motion
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Velocity of a particle changes when

(1) Direction of velocity changes

(2) Magnitude of velocity changes

(3) Both of above

(4) None of the above

Concept Questions :-

Instantaneous speed and instantaneous velocity
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The motion of a particle is described by the equation u = at. The distance travelled by the particle in the first 4 seconds

(1) 4 a

(2) 12 a

(3) 6 a

(4) 8 a

Concept Questions :-

Uniformly accelerated motion
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The relation $3t=\sqrt{3x}+6$ describes the displacement of a particle in one direction where x is in metres and t in sec. The displacement, when velocity is zero, is

1. 24 metres

2. 12 metres

3. 5 metres

4. Zero

Concept Questions :-

Instantaneous speed and instantaneous velocity
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The average velocity of a body moving with uniform acceleration travelling a distance of 3.06 m is 0.34 ms–1. If the change in velocity of the body is 0.18ms–1 during this time, its uniform acceleration is

(1) 0.01 ms–2

(2) 0.02 ms–2

(3) 0.03 ms–2

(4) 0.04 ms–2

Concept Questions :-

Acceleration
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Difficulty Level: