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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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
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Difficulty Level:

The velocity of a bullet is reduced from 200m/s to 100m/s while travelling through a wooden block of thickness 10cm. The retardation, assuming it to be uniform, will be

(1) $10×{10}^{4}$ m/s2

(2) $12×{10}^{4}$ m/s2

(3) $13.5×{10}^{4}$ m/s2

(4) $15×{10}^{4}$ m/s

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

A body of 5 kg is moving with a velocity of 20 m/s. If a force of 100N is applied on it for 10s in the same direction as its velocity, what will now be the velocity of the body ?

(1) 200 m/s

(2) 220 m/s

(3) 240 m/s

(4) 260 m/s

Concept Questions :-

Instantaneous speed and instantaneous velocity
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A particle starts from rest, accelerates at 2 m/s2 for 10s and then goes for constant speed for 30s and then decelerates at 4 m/s2 till it stops. What is the distance travelled by it ?

(1) 750 m

(2) 800 m

(3) 700 m

(4) 850 m

Concept Questions :-

Acceleration
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The engine of a motorcycle can produce a maximum acceleration 5 m/s2. Its brakes can produce a maximum retardation 10 m/s2. What is the minimum time in which it can cover a distance of 1.5 km

(1) 30 sec

(2) 15 sec

(3) 10 sec

(4) 5 sec

Concept Questions :-

Acceleration
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Difficulty Level:

A car, moving with a speed of 50 km/hr, can be stopped by brakes after at least 6m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is

(1) 6m

(2) 12m

(3) 18m

(4) 24m

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

A student is standing at a distance of 50 metres from the bus. As soon as the bus begins its motion with an acceleration of 1ms–2, the student starts running towards the bus with a uniform velocity u. Assuming the motion to be along a straight road, the minimum value of u, so that the student is able to catch the bus is

1. 5 ms–1

2. 8 ms–1

3. 10 ms–1

4. 12 ms–1

Concept Questions :-

Relative motion in 1-D