# 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 ($\sqrt{3}$, 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  with speeds  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.

3.

4.

Subtopic:  Circular Motion |
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A particle is projected with a speed u at an angle $\mathrm{\theta }$ to the horizontal. Radius of curvature at highest point of its trajectory is

1. $\frac{{\mathrm{u}}^{2}{\mathrm{cos}}^{2}\mathrm{\theta }}{2\mathrm{g}}$

2. $\frac{\sqrt{3}{\mathrm{u}}^{2}{\mathrm{cos}}^{2}\mathrm{\theta }}{2\mathrm{g}}$

3. $\frac{{\mathrm{u}}^{2}{\mathrm{cos}}^{2}\mathrm{\theta }}{\mathrm{g}}$

4. $\frac{\sqrt{3}{\mathrm{u}}^{2}{\mathrm{cos}}^{2}\mathrm{\theta }}{\mathrm{g}}$

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. ${\mathrm{v}}^{2}/2\mathrm{R}$

3. $2{\mathrm{v}}^{2}/\mathrm{R}$

4. $\frac{{\mathrm{v}}^{2}}{\mathrm{R}}×\sqrt{2}$

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  respectively, then:

1. ${\mathrm{v}}_{1}>{\mathrm{v}}_{2}>{\mathrm{v}}_{3}$

2. ${\mathrm{v}}_{3}>{\mathrm{v}}_{2}={\mathrm{v}}_{1}$

3. ${\mathrm{v}}_{1}={\mathrm{v}}_{2}={\mathrm{v}}_{3}$

4. ${\mathrm{v}}_{1}<{\mathrm{v}}_{2}<{\mathrm{v}}_{3}$

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 . It can be deduced that the acceleration of the particle will be

1.

2.

3.

4.

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.

2.

3.

4.

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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