# 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. $$30^\circ$$ 2. $$45^\circ$$ 3. $$60^\circ$$ 4. $$0$$

Subtopic:  Position & Displacement |
76%
From NCERT
AIPMT - 2007
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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 |
87%
From NCERT
AIPMT - 2006
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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 |
82%
From NCERT
AIPMT - 2006
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Two particles A and B are moving in a uniform circular motion in concentric circles of radii $$r_A$$ and $$r_B$$ with speeds $$v_A$$ and $$v_B$$ respectively. Their time periods of rotation are the same. The ratio of the angular speed of $$A$$  to that of $$B$$ will be:

 1 $$1: 1$$ 2 $$r_A: r_B$$ 3 $$v_A: v_B$$ 4 $$r_B: r_A$$
Subtopic:  Circular Motion |
79%
From NCERT
NEET - 2019
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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 |
From NCERT
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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 |
From NCERT
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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 ${\mathrm{v}}_{1},{\mathrm{v}}_{2}$ $\mathrm{and}$ ${\mathrm{v}}_{3}$ 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 |
74%
From NCERT
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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 $\frac{1}{3}$ ${\mathrm{ms}}^{-1}$. It can be deduced that the acceleration of the particle will be:

1. $\frac{1}{3}$ $\stackrel{^}{\mathrm{j}}$ ${\mathrm{ms}}^{-2}$

2. $3$ $\stackrel{^}{\mathrm{j}}$ ${\mathrm{ms}}^{-2}$

3. $\frac{2}{3}$ $\stackrel{^}{\mathrm{j}}$ ${\mathrm{ms}}^{-2}$

4. $2$ $\stackrel{^}{\mathrm{j}}$ ${\mathrm{ms}}^{-2}$

Subtopic:  Acceleration |
From NCERT
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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 |
71%
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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 |
83%
From NCERT
AIPMT - 2011
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