Two projectiles, one fired from the surface of the earth with speed 5 m/s and the other fired from the surface of a planet with initial speed 3 m/s with the same angle of the projection, trace identical trajectories. Neglecting friction effect, the value of acceleration due to gravity on the planet is:

(1) 5.9 m/s2

(2) 3.6 m/s2

(3) 16.3 m/s2

(4) 8.5 m/s2

Subtopic:  Projectile Motion |
 79%
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 from origin of a co-ordinate system with initial velocity of 2i^ + 3j^ m/s considering y-axis along vertical. The equation of its trajectory is (take g = 10 m/s2)

(1) 6y = 4x - 5x2

(2) 5y = 6x - 4x2

(3) 4y = 6x - 5x2

(4) 6y = 5x - 4x2

Subtopic:  Projectile Motion |
 71%
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

During the downward motion of an oblique projectile from the top point of its trajectory, the radius of curvature of its trajectory will:

(1) Remain constant

(2) Increase

(3) Decrease

(4) May increase or decrease

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

A particle is thrown obliquely at \(t=0\). The particle has the same K.E. at \(t=5\) seconds and at \(t=9\) seconds. The particle attains maximum altitude at:
1. \(t=6\) s
2. \(t=7\) s
3. \(t=8\) s
4. \(t=14\) s

Subtopic:  Projectile Motion |
 75%
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 of mass m is thrown at t=0 with kinetic energy K0 at an angle 30° with the horizontal from the top of a tower of height 80 m. The particle again has kinetic energy K0 after time t0. The t0 is equal to:

(1)  2K0mg2

(2)   K0mg2

(3)   K03mg2

(4)   K04mg2

Subtopic:  Projectile Motion |
 65%
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 position vector of a particle is r = a sin ωti^ + a cos ωtj^. The velocity of the particle is:

1.  parallel to the position vector.
2.  at 60° with position vector.
3.  parallel to the acceleration vector.
4.  perpendicular to the position vector.

Subtopic:  Circular Motion |
 79%
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

Which of the following angles of projections will provide a maximum range to a projectile when projected with the same speed in all cases?

(1) 37°

(2) 54°

(3) 42°

(4) 49°

Subtopic:  Projectile Motion |
 72%
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 a body is projected from the surface of the earth for maximum range R, then the maximum height attained by the body is:

(1) R

(2) R8

(3) 4R

(4) R4

Subtopic:  Projectile Motion |
 81%
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 from the ground with the velocity v0 at an angle θ with the horizontal. What is the vertical component of the velocity of the projectile when its vertical displacement is equal to half of the maximum height attained?

1.  3v0 cosθ

2.  v02sin θ

3.  v02cosθ

4.  5v0

Subtopic:  Projectile Motion |
 70%
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 projectile is projected with a speed of 60 m/s at an angle of 60° from the horizontal. After some time projectile is moving at an angle of 30° with horizontal, what is the value of ddtv at this instant? (Given g = 10 m/s2)

(1) 1 m/s2

(2) 53 m/s2

(3) 53 m/s2

(4) 5 m/s2

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