# 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 ($$x\text-z$$ plane) such that its velocity vector at time $$t$$ is given by $$\overrightarrow{v}=a \hat{i}+(b-c t )\hat{j}.$$ Its range on this horizontal plane is given by:

 1 $$\frac{ba}{c}$$ 2 $$\frac{2ba}{c}$$ 3 $$\frac{3ba}{c}$$ 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 $$53^{\circ}$$ upstream from the line $$AB$$. 3 head $$37^{\circ}$$ upstream from the line $$AB$$. 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 $$\overrightarrow{v_1}$$ and $$\overrightarrow{v_2}$$. At the initial moment their position vector are $$\overrightarrow {r_1}$$ and $$\overrightarrow {r_2}$$ respectively. The condition for particles $$A$$ and $$B$$ for their collision to happen will be:
1. $$\overrightarrow{r_{1 }} . \overrightarrow{v_{1}} = \overrightarrow{r_{2 }} . \overrightarrow{v_{2}}$$
2. $$\overrightarrow{r_{1}} \times\overrightarrow{v_{1}} = \overrightarrow{r_{2}} \times \overrightarrow {v_{2}}$$
3. $$\overrightarrow{r_{1}}-\overrightarrow{r_{2}}=\overrightarrow{v_{1}} - \overrightarrow{v_{2}}$$
4. $$\frac{\overrightarrow{r_{1}} - \overrightarrow{r_{2}}}{\left|\overrightarrow{r_{1}} - \overrightarrow{r_{2}}\right|} = \frac{\overrightarrow{v_{2}} - \overrightarrow{v_{1}}}{\left|\overrightarrow{v_{2}} - \overrightarrow{v_{1}}\right|}$$

Subtopic:  Speed & Velocity |
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

A particle moves along a parabolic path $$y =9x^2$$ in such a way that the $$x$$ component of the velocity remains constant and has a value of $$\frac{1}{3}~\text{m/s}$$${}^{}$. It can be deduced that the acceleration of the particle will be:
1. $$\frac{1}{3}\hat j~\text{m/s}^2$$
2. $$3\hat j~\text{m/s}^2$$
3. $$\frac{2}{3}\hat j~\text{m/s}^2$$
4. $$2\hat j~\text{m/s}^2$$

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 $$v_{1} , v_{2}$$ $$\text{and}$$ $$v_{3}$$ respectively, then:

1. $$v_{1} > v_{2} > v_{3}$$
2. $$v_{3} > v_{2} = v_{1}$$
3. $$v_{1} = v_{2} = v_{3}$$
4. $$v_{1} < v_{2} < v_{3}$$${}_{}$

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 $$P_1$$ to $$P_2$$

1. zero
2. $$v^{2} / 2 R$$
3. $$2 v^{2} / R$$
4. $$\frac{v^{2}}{R} \times \sqrt{2}$$

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 $$\theta$$ to the horizontal. Radius of curvature at highest point of its trajectory is?
1. $$\frac{u^{2} \cos^{2} \theta}{2 g}$$
2. $$\frac{\sqrt{3} u^{2}\cos^{2} \theta}{2 g}$$
3. $$\frac{u^{2} \cos^{2} \theta}{g}$$
4. $$\frac{\sqrt{3} u^{2} \cos^{2} \theta}{g}$$

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