A particle starting from the origin (0, 0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are (3, 3). The path of the particle makes an angle of .......................with the x-axis :

1. 30o

2. 45o

3. 60o

4. 0o

Subtopic:  Position & Displacement |
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For a projectile projected at angles (45°-θ) and (45°+θ), the horizontal ranges described by the projectile are in the ratio of:

1. 1:1

2. 2:3

3. 1:2

4. 2:1

Subtopic:  Projectile Motion |
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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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Two particles A and B are moving in a uniform circular motion in concentric circles of radii rA and rB with speeds vA and vB respectively. Their time periods of rotation are the same. The ratio of angular speed of A  to that of B will be:

1. 1: 1

2. rA : rB

3. vA : vB

4. rB : rA

Subtopic:  Circular Motion |
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A particle is projected with a speed u at an angle θ to the horizontal. Radius of curvature at highest point of its trajectory is

1. u2cos2θ2g

2. 3u2cos2θ2g

3. u2cos2θg

4. 3u2cos2θg

Subtopic:  Circular Motion |
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Figure below shows a body of mass M moving with a uniform speed v on a circular path of radius, R. What is the change in acceleration in going from P1 to P2
              

1. zero

2. v2/2R

3. 2v2/R

4. v2R×2

Subtopic:  Circular Motion |
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Three balls are thrown from the top of a building with equal speeds at different angles. When the balls strike the ground, their speeds are v1,v2 and v3 respectively, then:
           

1. v1>v2>v3

2. v3>v2=v1

3. v1=v2=v3

4. v1<v2<v3

Subtopic:  Projectile Motion |
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A particle moves along a parabolic path y = 9x2 in such a way that the x component of the velocity remains constant and has a value of 13 ms-1. It can be deduced that the acceleration of the particle will be

1. 13 j^ ms-2

2. 3 j^ ms-2

3. 23 j^ ms-2

4. 2 j^ ms-2

Subtopic:  Acceleration |
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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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A missile is fired for a maximum range with an initial velocity of 20 m/s. If g= 10 m/s2, then the range of the missile will be

1.  50 m

2.  60 m

3.  20 m

4.  40 m

Subtopic:  Projectile Motion |
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