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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Difficulty Level:

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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Difficulty Level:

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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Equation of displacement for any particle is $s=3{t}^{3}+7{t}^{2}+14t+8m$. Its acceleration at time t = 1 sec is

1. 10 m/s2

2. 16 m/s2

3. 25 m/s2

4. 32 m/s2

Concept Questions :-

Acceleration
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The position of a particle moving along the x-axis at certain times is given below :

 t (s) 0 1 2 3 x (m) -2 0 6 16

Which of the following describes the motion correctly

(1) Uniform, accelerated

(2) Uniform, decelerated

(3) Non-uniform, accelerated

(4) There is not enough data for generalization

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

Consider the acceleration, velocity and displacement of a tennis ball as it falls to the ground and bounces back. Directions of which of these changes in the process ?

1. Velocity only

2. Displacement and velocity

3. Acceleration, velocity and displacement

4. Displacement and acceleration

Concept Questions :-

Instantaneous speed and instantaneous velocity
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Difficulty Level:

The displacement of a particle, moving in a straight line, is given by $s=2{t}^{2}+2t+4$ where s is in metres and t in seconds. The acceleration of the particle is

(1) 2 m/s2

(2) 4 m/s2

(3) 6 m/s2

(4) 8 m/s2

Concept Questions :-

Acceleration
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Difficulty Level:

A body A starts from rest with an acceleration a1. After 2 seconds, another body B starts from rest with an acceleration a2. If they travel equal distances in the 5th second, after the start of A, then the ratio a1 : a2  is equal to

(1) 5 : 9

(2) 5 : 7

(3) 9 : 5

(4) 9 : 7

Concept Questions :-

Uniformly accelerated motion