# A particle moves a distance $$x$$ in time $$t$$ according to equation $$x = (t+5)^{-1}$$. The acceleration of the particle is proportional to:  1. $$(\text{velocity})^{\frac{3}{2}}$$ 2. $$(\text{distance})^2$$ 3. $$(\text{distance})^{-2}$$ 4. $$(\text{velocity})^{\frac{2}{3}}$$

Subtopic:  Acceleration |
66%
From NCERT
NEET - 2010
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 $$x$$ of a particle moving along the $$x$$-axis varies with time $$t$$ as $$x=20t-5t^2,$$
where $$x$$ is in meters and $$t$$ is in seconds. The particle reverses its direction of motion at:

1. $$x=40~\text{m}$$
2. $$x=10~\text{m}$$
3. $$x=20~\text{m}$$
4. $$x=30~\text{m}$$

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
81%
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 cars $$A$$ and $$B$$ are travelling in the same direction with velocities $$v_1$$ and $$v_2$$ $$(v_1>v_2).$$ When the car $$A$$ is at a distance $$d$$ behind car $$B$$, the driver of the car $$A$$ applied the brake producing uniform retardation $$a$$. There will be no collision when:
1. $$d < \frac{\left( v_{1} - v_{2} \right)^{2}}{2 a}$$
2. $$d < \frac{v_{1}^{2} - v_{2}^{2}}{2 a}$$
3. $$d > \frac{\left(v_{1} - v_{2}\right)^{2}}{2 a}$$
4. $$d > \frac{v_{1}^{2} - v_{2}^{2}}{2 a}$$

Subtopic:  Relative Motion in One Dimension |
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

Which of the following four statements is false?

 1 A body can have zero velocity and still be accelerated. 2 A body can have a constant velocity and still have a varying speed. 3 A body can have a constant speed and still have a varying velocity. 4 The direction of the velocity of a body can change when its acceleration is constant.

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
66%
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 path $$ABCD$$ as shown in the figure. The magnitude of the displacement of the particle from $$A$$ to $$D$$ is:

1. $\left(5+10\sqrt{2}\right)$m
2. $$10$$ m
3. $15\sqrt{2}$ m
4. $$15$$ m

Subtopic:  Distance & Displacement |
70%
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 body starting from rest moves with uniform acceleration on a horizontal surface. The body covers $$3$$ consecutive equal distances from the beginning in time $$t_1, t_2,\text{and}~t_3$$${}_{}$ seconds. The ratio of $$t_1:t_2:t_3$$ is:
1. $$1:2:3$$
2. $$1:\sqrt{2}:\sqrt{3}$$
3. $$1:\left(\sqrt{2}-1\right):\left(\sqrt{3}-\sqrt{2}\right)$$
4. $$\sqrt{3}:\sqrt{2}:1$$

Subtopic:  Uniformly Accelerated Motion |
79%
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 ($$x$$) of a particle in a straight line motion is given by $$x = 2 + 10 t - 5 t^{2}~\text{m}$$. Its velocity ($$v$$) is best represented by?

 1 2 3 4
Subtopic:  Graphs |
76%
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

An elevator whose floor to ceiling height is $$12$$ meters, moves upward with an acceleration of $$2.2~\text{m/s}^2$$. After $$1.5$$ seconds since starting, a bolt falls from its ceiling. The time taken by the bolt to reach the floor is:
1. $$1~\text{s}$$
2. $$2~\text{s}$$
3. $$\sqrt{2}~\text{s}$$
4. $$\sqrt{3}~\text{s}$$

Subtopic:  Relative Motion in One Dimension |
64%
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 displacement $$(x)$$ of a point moving in a straight line is given by; $$x=8t^2-4t.$$ Then the velocity of the particle is zero at:

 1 $$0.4$$ s 2 $$0.25$$ s 3 $$0.5$$ s 4 $$0.3$$ s
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
87%
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 $$v$$ of an object varies with its position $$x$$ on a straight line as $$v=3\sqrt{x}.$$ Its acceleration versus time $$(a\text-t)$$ graph is best represented by:

 1 2 3 4
Subtopic:  Acceleration |
61%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints