# A particle starting from the point $$(1,2)$$ moves in a straight line in the XY-plane. Its coordinates at a later time are $$(2,3).$$ The path of the particle makes with x-axis an angle of: 1. $$30^\circ$$ 2. $$45^\circ$$ 3. $$60^\circ$$ 4. data is insufficient

Subtopic:  Position & Displacement |
80%
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 projected from a horizontal plane (x-z plane) such that its velocity vector at time t is given by $$\overrightarrow{\mathrm{v}}=a \hat{i}+(b-c t )\hat{j}.$$ Its range on this horizontal plane is given by:

 1 $$\frac{\mathrm{ba}}{\mathrm{c}}$$ 2 $$\frac{2 \mathrm{ba}}{\mathrm{c}}$$ 3 $$\frac{3 \mathrm{ba}}{\mathrm{c}}$$ 4 None
Subtopic:  Projectile Motion |
67%
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 man is walking on the road with a speed 3 m/s. Rain is falling vertically at speed 3 m/s. At what angle from the vertical, man has to hold his umbrella to avoid the rain drops?
1. $$45^\circ$$
2. $$30^\circ$$
3. $$60^\circ$$
4. $$90^\circ$$
Subtopic:  Relative Motion |
85%
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 river is 1 km wide. The banks are straight and parallel. The current is 5 km/h and is parallel to the banks. A boat has a maximum speed of 3 km/h in still water. In what direction should the boat head so as to arrive at point B directly opposite to its starting point A?

1. directly across the river

2. head $53°$ upstream from the line AB

3. head $37°$ $\mathrm{upstream}$ $\mathrm{from}$ $\mathrm{the}$ $\mathrm{line}$ $\mathrm{AB}$

4. the trip from A to B is not possible with this speed

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

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
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

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
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

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
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 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
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 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
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints