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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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
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Difficulty Level:

If body having initial velocity zero is moving with uniform acceleration 8 m/sec2 , then the distance travelled by it in fifth second will be

(1) 36 metres

(2) 40 metres

(3) 100 metres

(4) Zero

Concept Questions :-

Acceleration
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An alpha particle enters a hollow tube of 4 m length with an initial speed of 1 km/s. It is accelerated in the tube and comes out of it with a speed of 9 km/s. The time for which it remains inside the tube is

(1)

(2) $80×{10}^{-3}s$

(3) $800×{10}^{-3}s$

(4) $8×{10}^{-4}s$

Concept Questions :-

Uniformly accelerated motion
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Two cars A and B are travelling in the same direction with velocities v1 and v2 $\left({v}_{1}>{v}_{2}\right)$. When the car A is at a distance d behind car B, the driver of the car A applied the brake producing a uniform retardation a. There will be no collision when

1. $d<\frac{{\left({v}_{1}-{v}_{2}\right)}^{2}}{2a}$

2. $d<\frac{{v}_{1}^{2}-{v}_{2}^{2}}{2a}$

3. $d>\frac{{\left({v}_{1}-{v}_{2}\right)}^{2}}{2a}$

4. $d>\frac{{v}_{1}^{2}-{v}_{2}^{2}}{2a}$

Concept Questions :-

Relative motion in 1-D
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A body of mass 10 kg is moving with a constant velocity of 10 m/s. When a constant force acts for 4 seconds on it, it moves with a velocity 2 m/sec in the opposite direction. The acceleration produced in it is

(1) 3 m/sec2

(2) –3 m/sec2

(3) 0.3 m/sec2

(4) –0.3 m/sec2

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Difficulty Level:

A body starts from rest from the origin with an acceleration of $6\text{\hspace{0.17em}}m/{s}^{2}$ along the x-axis and $8\text{\hspace{0.17em}}m/{s}^{2}$ along the y-axis. Its distance from the origin after 4 seconds will be

(1) 56 m

(2) 64 m

(3) 80 m

(4) 128 m

Concept Questions :-

Uniformly accelerated motion