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° 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 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

A particle is projected with a velocity v such that its range on the horizontal plane is twice the greatest height attained by it. The range of the projectile is (where g is acceleration due to gravity)

1. \(\frac{4 v^2}{5 g} \) 2. \(\frac{4 g}{5 v^2} \)
3. \(\frac{v^2}{g} \) 4. \( \frac{4 v^2}{\sqrt{5} g}\)
Subtopic:  Projectile Motion |
 50%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

A man moving in the west direction observes wind is blowing towards the south. If the man doubles his speed in the same direction, then the direction of wind with respect to man will be:

1.  North-West

2.  South-West

3.  North-East

4.  East-South

Subtopic:  Relative Motion |
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Two bullets are fired horizontally and simultaneously towards each other from the rooftops of two buildings (building being \(100~\text{m}\) apart and being of the same height of \(200~\text{m}\)) with the same velocity of \(25~\text{m/s}\). When and where will the two bullets collide? \(\left(g = 10~\text{m/s}^2 \right)\)?

1. after \(2~\text{s}\) at a height of \(180~\text{m}\)
2. after \(2~\text{s}\) at a height of \(20~\text{m}\)
3. after \(4~\text{s}\) at a height of \(120~\text{m}\)
4. they will not collide.
Subtopic:  Relative Motion |
 57%
From NCERT
NEET - 2019
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

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 |
 86%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

A man standing on a road holds his umbrella at 30° with the vertical to keep the rain away. He throws the umbrella and starts running at 10 km/hr. He finds that raindrops are hitting his head vertically. The speed of raindrops with respect to the road will be

1. 10 km/hr

2. 20 km/hr

3. 30 km/hr

4. 40 km/hr

Subtopic:  Relative Motion |
 76%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

A man is crossing a river flowing with a velocity of 5 m/s. He reaches a point directly across the river at a distance of 60 m in 5 s. His velocity in still water should be:

1.  12 m/s

2.  13 m/s

3.  5 m/s

4.  10 m/s

Subtopic:  Relative Motion |
 69%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

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 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

A ball is projected at a certain angle with initial velocity u. It covers horizontal range R. With what initial velocity it should be projected keeping the angle of projection the same so that its horizontal range becomes 2.25R?

1. 2.5u 2. 1.5u
3. 2.25u 4. 0.25u
Subtopic:  Projectile Motion |
 80%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

A particle is moving with velocity v=k(yi^+xj^) where k is a constant. The general equation for the path will be:

1. y = x2 + constant 2. y2 = x2 + constant
3. y = x + constant 4. xy=constant
Subtopic:  Speed & Velocity |
 54%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh