Two stones are thrown simultaneously from the top of a building horizontally but in opposite directions, they will be moving perpendicular to each other say after time t, then t is equal to ___________. The initial speeds of stones are u1 and u2 respectively and acceleration due to gravity is g.

1.  u1u2g

2.  u1u2g

3.  u1u2g2

4.  2u1u2g

Subtopic:  Projectile Motion |
From NCERT
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Two projectiles projected with the same speed at angles θ and (90° - θ) from the same point, then H1 × H2 is equal to: (where symbols have their usual meanings)

1.  R216

2.  R28

3.  R24

4.  R2

Subtopic:  Projectile Motion |
 69%
From NCERT
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A projectile is projected from the ground with speed 20 m/s at an angle 30° with vertical. The radius of curvature of the path of a projectile, when velocity makes 30° with horizontal is (g = 10 m/s2)

(1) 8.5 m

(2) 15.4 m

(3) 26.2 m

(4) 32.6 m

Subtopic:  Projectile Motion |
 60%
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A projectile is projected with speed u at an angle of 30° with the vertical from the ground. The angle between the acceleration of the projectile and its velocity at the time of striking the horizontal ground is:

(1) 30°

(2) 60°

(3) 45°

(4) 0°

Subtopic:  Projectile Motion |
 52%
From NCERT
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Which of the following statements is incorrect?

1. The average speed of a particle in a given time interval cannot be less than the magnitude of the average velocity.
2. It is possible to have a situation \(|\frac{d\vec{v}}{dt}|\neq0\) but \(\frac{d|\vec{v}|}{dt}=0\)
3. The average velocity of a particle is zero in a time interval. It is possible that instantaneous velocity is never zero in that interval.
4. It is possible to have a situation in which \(|\frac{d\vec{v}}{dt}|=0\) but \(\frac{d|\vec{v}|}{dt}\neq0\)
 
Subtopic:  Acceleration |
 63%
From NCERT
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A man is walking on a horizontal road with a speed of 4 km/h. Suddenly, the rain starts vertically downwards with a speed of 7 km/h. The magnitude of the relative velocity of the rain with respect to the man is:

1. 33 km/h

2. 65 km/h

3. 8 km/h

4. 4 km/h

Subtopic:  Relative Motion |
 88%
From NCERT
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A particle of mass 6 kg moves with an initial velocity of v = 8i^ + 8j^ m/s. A constant force of F=-30j^ N is applied to the particle. Initially, the particle was at (0, 0). The x-coordinate of the particle, when its y-coordinate again becomes zero is given by

(1) 6.0 m 

(2) 12.8 m

(3) 8 m

(4) 25.6 m

Subtopic:  Projectile Motion |
From NCERT
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In a uniform circular motion:

(1) Velocity and acceleration remain constant.

(2) Kinetic energy remains constant.

(3) Speed and acceleration changes.

(4) Only velocity changes, acceleration remains constant.

Subtopic:  Circular Motion |
 68%
From NCERT
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If a body is accelerating, then:

1. it must speed up.
2. it may move at the same speed.
3. it may move with the same velocity.
4. it must slow down.

Subtopic:  Acceleration |
 57%
From NCERT
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Compared to an ideal projectile motion under gravity, which of the following is incorrect regarding another projectile motion in which air-friction is also considered?

(1) Time of flight decreases.

(2) The decrease in the horizontal component of velocity continuously.

(3) Angle with horizontal is less at the time of striking the ground compared to the angle of projection with horizontal.

(4) Angle with vertical is less at the time of striking the ground with respect to the angle of projection with vertical.

Subtopic:  Projectile Motion |
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