The speed of a boat in still water is half of the velocity of the flow of water(v). At what angle boat should steer with the direction of flow of water so that drift of boat is minimum?

(1) 30°

(2) 60°

(3) 90°

(4) 120°

Subtopic:  Relative Motion |
 54%
From NCERT
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A sports car is moving with a constant speed of 20 m/s on a horizontal road. Its motion is recorded by a camera, which is at 40 m from the road as shown. In order to focus the car, the camera is to be rotated at an angular speed equal to :

                            

(1) 1.000 rad/s

(2) 0.500 rad/s

(3) 0.250 rad/s

(4) 0.125 rad/s

Subtopic:  Circular Motion |
From NCERT
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The magnitude of a vector A is constant but it is changing its direction continuously. The angle between A and dAdt is :

(1) 180°

(2) 120°

(3) 90°

(4) 0°

Subtopic:  Circular Motion |
 70%
From NCERT
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A particle is moving on a circular path of radius \(R.\) When the particle moves from point \(A\) to \(B\) (angle \( \theta\)), the ratio of the distance to that of the magnitude of the displacement will be:

         

1. θsinθ2

2. θ2sinθ2

3. θ2cosθ2

4. θcosθ2

Subtopic:  Position & Displacement |
 74%
From NCERT
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Two particles move from A to C and A to D on a circle of radius R and diameter AB. If the time taken by both particles are the same, then the ratio of magnitudes of their average velocities is:
                                
1. 2

2.  23

3.  3

4.  32

Subtopic:  Speed & Velocity |
 62%
From NCERT
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A particle moves on the curve \(x^2 = 2y\). The angle of its velocity vector with the x-axis at the point \(\left(1, \frac{1}{2}\right )\) will be:

1. \(30^\circ\) 2. \(60^\circ\)
3. \(45^\circ\) 4. \(75^\circ\)
Subtopic:  Speed & Velocity |
 61%
From NCERT
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A ball is projected at an angle θ with the horizontal. The angle of elevation of the ball when it is at the highest point is:

(1)  tan θ2

(2)  sin θ2

(3)  cos θ2

(4)  2 tan θ

Subtopic:  Projectile Motion |
 66%
From NCERT
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A particle is moving along a curve. Select the correct statement.

1. If its speed is constant, then it has no acceleration.
2. If its speed is increasing, then the acceleration of the particle is along its direction of motion.
3. If its speed is decreasing, then the acceleration of the particle is opposite to its direction of motion.
4. If its speed is constant, its acceleration is perpendicular to its velocity.
Subtopic:  Acceleration |
 68%
From NCERT
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A man can row a boat with 8 km/h in still water. He is crossing a river of width 8 km, where the speed of water flow is 4 km/h. What direction should he head the boat to cross the river in the shortest time?

(1) 30° with the current

(2) 60° with the current

(3) 90° with the current

(4) 120° with the current

Subtopic:  Relative Motion |
 58%
From NCERT
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The horizontal range of a particle thrown from the ground is four times the maximum height. The angle of projection with the vertical is:

(1) 60°

(2) 30°

(3) 45°

(4) 90°

Subtopic:  Projectile Motion |
 88%
From NCERT
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