# Consider the motion of the tip of the second hand of a clock. In one minute (assuming $$R$$ to be the length of the second hand), its: 1. displacement is $$2\pi R$$ 2. distance covered is $$2R$$ 3. displacement is zero. 4. distance covered is zero.

Subtopic:  Position & Displacement |
86%
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 projected from origin moves in the x-y plane with a velocity $\stackrel{\to }{\mathrm{v}}=3\stackrel{^}{\mathrm{i}}+6\mathrm{x}\stackrel{^}{\mathrm{j}}$, where $\stackrel{^}{\mathrm{i}}$ and $\stackrel{^}{\mathrm{j}}$ are the unit vectors along the x and y-axis. The equation of path followed by the particle is:

1. $\mathrm{y}={\mathrm{x}}^{2}$

2. $\mathrm{y}=\frac{1}{{\mathrm{x}}^{2}}$

3. $\mathrm{y}=2{\mathrm{x}}^{2}$

4. $\mathrm{y}=\frac{1}{\mathrm{x}}$

Subtopic:  Speed & Velocity |
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

The position coordinates of a projectile projected from ground on a certain planet (with no atmosphere) are given by $\mathrm{y}=\left(4\mathrm{t}-2{\mathrm{t}}^{2}\right)\mathrm{m}$ and $\mathrm{x}=\left(3\mathrm{t}\right)$ metre, where t is in seconds and point of projection is taken as the origin. The angle of projection of projectile with vertical is:

1. $30°$

2. $37°$

3. $45°$

4. $60°$

Subtopic:  Projectile Motion |
78%
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

The velocity at the maximum height of a projectile is $\frac{\sqrt{3}}{2}$ times its initial velocity of projection (u). Its range on the horizontal plane is:

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

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

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

4. $\frac{{\mathrm{u}}^{2}}{2\mathrm{g}}$

Subtopic:  Projectile Motion |
73%
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

The equation of a projectile is $\mathrm{y}=\mathrm{ax}-{\mathrm{bx}}^{2}$. Its horizontal range is?

1. $\frac{\mathrm{a}}{\mathrm{b}}$

2. $\frac{\mathrm{b}}{\mathrm{a}}$

3. $\mathrm{a}+\mathrm{b}$

4. $\mathrm{b}-\mathrm{a}$

Subtopic:  Projectile Motion |
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

When a particle is projected at some angle to the horizontal, it has a range R and time of flight t1. If the same particle is projected with the same speed at some other angle to have the same range, its time of flight is t2, then:

1. ${\mathrm{t}}_{1}+{\mathrm{t}}_{2}=\frac{2\mathrm{R}}{\mathrm{g}}$

2. ${\mathrm{t}}_{1}-{\mathrm{t}}_{2}=\frac{\mathrm{R}}{\mathrm{g}}$

3. ${\mathrm{t}}_{1}{\mathrm{t}}_{2}=\frac{2\mathrm{R}}{\mathrm{g}}$

4. ${\mathrm{t}}_{1}{\mathrm{t}}_{2}=\frac{\mathrm{R}}{\mathrm{g}}$

Subtopic:  Projectile Motion |
73%
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 at a speed of 40 m/s on a circular track of radius 400 m. This speed is increasing at the rate of 3 m/s2. The acceleration of the car is:

1. 4 m/s2

2. 7 m/s2

3. 5 m/s2

4. 3 m/s2

Subtopic:  Circular Motion |
73%
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 circle such that it completes one revolution in 40 seconds. In 2 minutes 20 seconds, the ratio of $$|displacement| \over distance$$ will be:
1. 0
2. 1/7
3. 2/7
4. 1/11

Subtopic:  Position & Displacement |
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

For any arbitrary motion in space, which of the following relations is true?

 1 $$\vec{v}_{\text {avg }}=\left(\frac{1}{2}\right)\left[\vec{v}\left(t_1\right)+\vec{v}\left(t_2\right)\right]$$ 2 $$\vec{v}(t)=\vec{v}(0)+\vec{a} t$$ 3 $$\overrightarrow{\mathrm{r}}(\mathrm{t})=\overrightarrow{\mathrm{r}}(0)+\overrightarrow{\mathrm{v}}(0) \mathrm{t}+\frac{1}{2} \overrightarrow{\mathrm{a}} \mathrm{t}^2$$ 4 $$\vec{v}_{\text {avg }}=\frac{\left[\vec{r}\left(t_2\right)-\vec{r}\left(t_1\right)\right]}{\left(t_2-t_1\right)}$$

Subtopic:  Speed & Velocity |
61%
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints

A particle starts from the origin at = 0 sec with a velocity of $10$ $\stackrel{^}{j}$ $m/s$ and moves in the x-y plane with a constant acceleration of $$(8.0\hat i +2.0 \hat j)$$ $$\text{ms}^{-2}$$. At what time is the x- coordinate of the particle 16 m?

 1 2 s 2 3 s 3 4 s 4 1 s

Subtopic:  Uniformly Accelerated Motion |
70%
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints