A body is projected with velocity v= αi^ + βj^ m/s. The time of flight of body considering x as horizontal and y as the vertical axis and g is the acceleration due to gravity:

1.  2βg

2.  2αg

3.  2αβg

4.  2α

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

Two balls are projected along the same initial line from a height h = 20 m. The direction of the projections is horizontal. If initial speeds are 20 m/s and 25 m/s, the maximum separation between the balls when they will hit the ground is

(1) 40 m

(2) 50 m

(3) 10 m

(4) 90 m

Subtopic:  Projectile Motion |
 73%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

If position of a particle varies according to the equations x = 3t2, y = 2t, and z = 4t + 4, then which of the following is incorrect?

1. Velocities in y and z directions are constant
2. Acceleration in the x-direction is non-uniform
3. Acceleration in the x-direction is uniform
4. Motion is not in a straight line

Subtopic:  Acceleration |
 74%
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

If three coordinates of a particle change according to the equations x=3t2, y=2t, z=4, then the magnitude of the velocity of the particle at time \(t=1\) second will be:
1. 211 unit 

2. 34 unit

3. \(40\) unit

4. 210 unit

Subtopic:  Speed & Velocity |
 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

Two bodies of equal masses are projected, one from top of the tower in the horizontal direction and other from the foot of tower at an angle of 45° with the horizontal, then the acceleration of their center of mass is

(1) g2downward

(2) g downward

(3) g2 - 12 downward

(4) g2 + 12 upward

Subtopic:  Projectile Motion |
 78%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

A projectile is projected at an angle of 60° from horizontal. At an instant, it is moving at an angle of 30° with horizontal with velocity 10 m/s. The radial acceleration of the particle at that instant is:

1.  202m/s2

2.  203m/s2

3.  203m/s2

4.  53m/s2

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

The initial velocity of a projectile is given by v = 20i^ + 50j^ + 70k^ m/s. If acceleration due to gravity is g = 10(-k^) m/s2, then the time after which projectile returns to the same horizontal level is:

(1) 4 s

(2) 10 s

(3) 14 s

(4) 12 s

Subtopic:  Projectile Motion |
 62%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Two persons start moving along two crossroads with the same speed 5 m/s. One in the direction of north and other is in the direction of the east as shown in the figure. Angular velocity of A with respect to B is :

                               

(1) 0.5 m/s

(2) Zero

(3) 1.0 m/s

(4) 2 m/s

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

In projectile motion, accelerations of the projectile when it is gaining height and losing height respectively are

(1) g upward, g upward

(2) g upward, g downward

(3) g downward, g downward

(4) g downward, g upward

Subtopic:  Projectile Motion |
 85%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

A person, who can swim with speed u relative to water, wants to cross a river (of width d and water is flowing with speed v). The minimum time in which the person can do so is:

1.  dv

2.  du

3.  dv2 + u2

4.  dv2 - u2

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