# A particle is moving on a circular path of radius $$R.$$ When the particle moves from point $$A$$ to $$B$$ (angle $$\theta$$), the ratio of the distance to that of the magnitude of the displacement will be:           1. $\frac{\mathrm{\theta }}{\mathrm{sin}\frac{\mathrm{\theta }}{2}}$ 2. $\frac{\mathrm{\theta }}{2\mathrm{sin}\frac{\mathrm{\theta }}{2}}$ 3. $\frac{\mathrm{\theta }}{2\mathrm{cos}\frac{\mathrm{\theta }}{2}}$ 4. $\frac{\mathrm{\theta }}{\mathrm{cos}\frac{\mathrm{\theta }}{2}}$ 

Subtopic:  Position & Displacement |
74%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

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. $$2\sqrt{3}$$

3. $$\sqrt{3}$$
4. $$\dfrac{\sqrt{3}}{2}$$

Subtopic:  Speed & Velocity |
63%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A particle moves on the curve ${\mathrm{}}^{}$$$x^2 = 2y$$$\mathrm{}$. The angle of its velocity vector with the $$x$$-axis at the point $$\left(1, \frac{1}{2}\right )$$ will be:

 1 $$30^\circ$$ 2 $$60^\circ$$ 3 $$45^\circ$$ 4 $$75^\circ$$
Subtopic:  Speed & Velocity |
62%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A particle is moving along a curve. Select the correct statement.

 1 If its speed is constant, then it has no acceleration. 2 If its speed is increasing, then the acceleration of the particle is along its direction of motion. 3 If its speed is decreasing, then the acceleration of the particle is opposite to its direction of motion. 4 If its speed is constant, its acceleration is perpendicular to its velocity.
Subtopic:  Acceleration |
69%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A car is moving along east at $$10$$ m/s and a bus is moving along north at $$10$$ m/s. The velocity of the car with respect to the bus is along:

 1 North-East 2 South-East 3 North-West 4 South-West
Subtopic:  Relative Motion |
59%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A particle starts moving from the origin in the XY plane and its velocity after time $$t$$ is given by $$\overrightarrow{{v}}=4 \hat{{i}}+2 {t} \hat{{j}}$$. The trajectory of the particle is correctly shown in the figure:

 1 2 3 4
Subtopic:  Speed & Velocity |
60%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A particle is moving in the XY plane such that $$x = \left(t^2 -2t\right)$$ m, and $$y = \left(2t^2-t\right)$$ m, then:

 1 Acceleration is zero at $$t=1$$ sec. 2 Speed is zero at $$t=0$$ sec. 3 Acceleration is always zero. 4 Speed is $$3$$ m/s at $$t=1$$ sec.
Subtopic:  Acceleration |
71%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

It is raining at $$20$$ m/s in still air. Now a wind starts blowing with speed $$10$$ m/s in the north direction. If a cyclist starts moving at $$10$$ m/s in the south direction, then the apparent velocity of rain with respect to a cyclist will be:
1. $$20$$ m/s

2. $$20\sqrt{2}$$ m/s

3. $$10 \sqrt{5}$$ m/s
4. $$30$$ m/s

Subtopic:  Relative Motion |
52%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

River of width $$500$$ m is flowing at a speed of $$10$$ m/s. A swimmer can swim at a speed of $$10$$ m/s in still water. If he starts swimming at an angle of $$120^{\circ}$$ with the flow direction, then the distance he travels along the river while crossing the river is:
1. $$250~\text{m}$$
2. $$500\sqrt{3}~\text{m}$$
3. $$\frac{500}{\sqrt{3}}~\text{m}$$
4. $$500~\text{m}$$

Subtopic:  Relative Motion |
56%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Path of a projectile with respect to another projectile so long as both remain in the air is:
1. Circular

2. Parabolic

3. Straight

4. Hyperbolic

Subtopic:  Projectile Motion |
68%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints