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

A body is moving along a straight line according to the equation of motion, $$x= t^{2} - 3 t + 4$$, where $$x$$ is in metre and $$t$$ is in seconds. What is the acceleration of the body when it comes to rest?
1. zero
2. $$2~\text{m/s}^2$$
3. $$\frac{3}{2}~\text{m/s}^2$$
4. $$1~\text{m/s}^2$$

Subtopic:  Acceleration |
84%
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 allowed to fall from rest from a height $$h$$. Which of the following represents its velocity versus time graph?

 1 2 3 4

Subtopic:  Uniformly Accelerated Motion |
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

The graph below shows position as a function of time for two trains running on parallel tracks.

Which of the following statements is true?

 1 At time $$t_B$$ both the trains have the same velocity 2 Both the trains have the same velocity at some time after $$t_B$$ 3 Both the trains have the same velocity at some time before $$t_B$$ 4 Both the trains have the same acceleration
Subtopic:  Graphs |
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
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Starting from rest, a car accelerates uniformly at the rate of $$1~\text{m/s}^2$$ for some time, then decelerates uniformly at the rate of $$2~\text{m/s}^2$$ and finally comes to rest after a journey of $$1$$ minute. The maximum possible speed of the car during this journey is:
1. $$10$$ m/s
2. $$20$$ m/s
3. $$30$$ m/s
4. $$40$$ m/s

Subtopic:  Uniformly Accelerated Motion |
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 the $$x$$-axis such that its velocity varies with time as per the equation $$v = 20\left(1-\frac{t}{2}\right)$$. At $$t=0$$ particle is at the origin. From the following, select the correct position $$(x)$$ - time $$(t)$$ plot for the particle:

 1 2 3 4
Subtopic:  Non Uniform Acceleration |
58%
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

Suppose you are riding a bike with a speed of $$20$$ m/s due east relative to a person $$A$$ who is walking on the ground towards the east. If your friend $$B$$ walking on the ground due west measures your speed as $$30$$ m/s due east, find the relative velocity between two reference frames $$A$$ and $$B$$:

 1 The velocity of $$A$$ with respect to $$B$$ is $$5$$ m/s towards the east. 2 The velocity of $$A$$ with respect to $$B$$ is $$5$$ m/s towards the west. 3 The velocity of $$A$$ with respect to $$B$$ is $$10$$ m/s towards the east. 4 The velocity of $$A$$ with respect to $$B$$ is $$10$$ m/s towards the west.
Subtopic:  Relative Motion in One Dimension |
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 helicopter moving vertically upwards releases a packet when it is at a certain height above the ground. The packet initially moves upwards for a time $$t_1$$ and then falls downwards for a time $$t_2$$ until it reaches the ground. Then:
1. $$t_1<t_2$$
2. $$t_1=t_2$$
3. $$t_1>t_2$$
4. Data insufficient

Subtopic:  Uniformly Accelerated Motion |
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

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