In a uniform circular motion,

(1) Both velocity and acceleration are constant.

(2) Acceleration and speed are constant but velocity changes.

(3) Both acceleration and velocity change.

(4) Both acceleration and speed are constant.

Subtopic:  Circular Motion |
 64%
From NCERT
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The relative velocity of a car P with respect to Q is 202 m/s North-East. The velocity of car Q is 40 m/s due to South. The velocity of car P is:

(1) 20 m/s East

(2) 202 m/s South-East

(3) 20 m/s West

(4) 202 m/s North-West

Subtopic:  Relative Motion |
 61%
From NCERT
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A projectile is projected with initial kinetic energy K. If it has kinetic energy 0.25K at its highest point, then the angle of projection is:

1. 30°

2. 45°

3. 60°

4. 75°

Subtopic:  Projectile Motion |
 67%
From NCERT
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A body is projected from the ground at an angle of 30° with horizontal. The instantaneous velocity of the body becomes perpendicular to initial velocity during its motion:

(1) Once

(2) Twice

(3) Thrice

(4) Never

Subtopic:  Projectile Motion |
From NCERT
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In the uniform circular motion, which of the following physical quantity remains constant?

(1) Angular velocity

(2) Angular momentum

(3) Angular speed

(4) All of these

Subtopic:  Circular Motion |
 61%
From NCERT
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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
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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
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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
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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
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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
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