A particle is moving such that its position coordinates (x, y) are (2m, 3m) at time t=0, (6m, 7m) at time t=2s and (13m, 14m) at time t=5s. Average velocity vector (vav) from t=0 to t=5s is:

1. 15(13i^+14j^)

2. 73(i^+j^)

3. 2(i^+j^)

4. 115(i^+j^

Subtopic:  Speed & Velocity |
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If three coordinates of a particle change according to the equations x=3t2, y=2t, z=4, then the magnitude of the velocity of the particle at time t = 1 second will be

1. 211 unit 

2. 34 unit

3. 40 unit

4. 210 unit

Subtopic:  Speed & Velocity |
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A car turns at a constant speed on a circular track of radius 100 m, taking 62.8 s for every circular lap. The average velocity and average speed for each circular lap, respectively, is :

1. 0,0

2. 0, 10 m/s

3. 10 m/s, 10 m/s

4. 10 m/s, 0

Subtopic:  Speed & Velocity |
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The coordinates of a moving particle at any time ‘t’ are given by x = αt3 and y = βt3. The speed of the particle at time ‘t’ is given by:

1. α2+β2

2. 3tα2+β2

3. 3t2α2+β2

4. t2α2+β2

Subtopic:  Speed & Velocity |
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A particle moves along the positive branch of the curve y = x22 where x = t22, & x and y are measured in metres and in seconds respectively. At = 2s, the velocity of the particle will be

1. (2i^-4j^ )m/s

2. (4i^+2j^ )m/s

3. (2i^+4j^ )m/s

4. (4i^-2j^ )m/s

Subtopic:  Speed & Velocity |
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In 1.0 s, a particle goes from point A to point B, moving in a semicircle of radius 1.0 m (see figure). The magnitude of the average velocity is:
                 

1. 3.14 m/s

2. 2.0 m/s

3. 1.0 m/s

4. Zero

Subtopic:  Speed & Velocity |
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Two particles A and B, move with constant velocities \(\vec{v_1}\)   and  \(\vec{v_2}\) . At the initial moment their position vector are  \(\vec{r_1}\) and  \(\vec{r_2}\)  respectively. The condition for particles A and B for their collision to happen will be

1.  r1 .v1 =r2 .v2

2.  r1 x v1 =r2 x v2

3.  r1- r2 =v1- v2

4.  r1- r2r1- r2= v2- v1v2- v1

Subtopic:  Speed & Velocity |
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Two particles move from A to C and A to D on a circle of radius R and diameter AB. If the time taken by both particles are the same, then the ratio of magnitudes of their average velocities is:
                                
1. 2

2.  23

3.  3

4.  32

Subtopic:  Speed & Velocity |
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A particle moves on the curve x2 = 2y. The angle of its velocity vector with the x-axis at the point 1, 12 will be:

1. 30°

2. 60°

3. 45°

4. 75°

Subtopic:  Speed & Velocity |
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The position of a particle is given by r = 3.0t i^ - 2.0t2 j^ +4.0 k^ m where t is in seconds and the coefficients have the proper units for r to be in meters. The magnitude and direction of vt at t = 1.0 s are:

1.  4 m/s at 53ο with x-axis

2.  4 m/s at 37ο with x-axis

3.  5 m/s at 53ο with y-axis

4.  5 m/s at 53ο with x-axis

Subtopic:  Speed & Velocity |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology