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

Concept Questions :-

Non-uniform acceleration
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Difficulty Level:

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

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

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

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

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

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

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

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

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

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

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

Concept Questions :-

Non-uniform acceleration
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Difficulty Level:

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

Concept Questions :-

Instantaneous speed and instantaneous velocity
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Difficulty Level:

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

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

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, $y=\left({t}^{2}-2t\right)$ 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

Concept Questions :-

Instantaneous speed and instantaneous velocity