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 |
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A particle is rotating with increasing speed on a circular track. The angle between its radius vector and acceleration is θ, then:

(1) 0° < θ < 90°

(2) 45° < θ < 90°

(3) 90° < θ < 180°

(4) θ = 90°

Subtopic:  Circular Motion |
From NCERT
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A particle starts moving on a circular path from rest, such that its tangential acceleration varies with time as \(a_t=kt\). Distance traveled by particle on the circular path in time \(t\) is:
1. \( \frac{kt^3}{3} \)
2. \(\frac{kt^2}{6} \)
3. \(\frac{kt^3}{6} \)
4. \(\frac{k t^2}{2}\)

Subtopic:  Circular Motion |
 71%
From NCERT
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A projectile thrown from the ground has horizontal range R. If velocity at the highest point is doubled somehow, the new range will be:

(1) 3 R

(2) 1.5 R

(3) 3 R

(4) 2 R

Subtopic:  Projectile Motion |
From NCERT
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The time of flights for a particle thrown for equal range at different angles is 4 sec and 3 sec. Speed of projection is:

(1) 10 m/s

(2) 20 m/s

(3) 25 m/s

(4) 50 m/s

Subtopic:  Projectile Motion |
 68%
From NCERT
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A body is projected from the ground at a speed v at an angle θ above the horizontal. The radius of curvature of its path at the highest point is:

(1)  v2 cos2 θ2g

(2)  v cos θg

(3)  v cos2 θg

(4)  v2 cos2 θg

Subtopic:  Projectile Motion |
 52%
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A particle is projected from the origin with velocity 4i^ + 9j^ m/s. The acceleration in the region is constant and -10j^ m/s2. The magnitude of velocity after one second is

(1) 8 m/s

(2) 15 m/s

(3) 17 m/s

(4) 27 m/s

Subtopic:  Projectile Motion |
 83%
From NCERT
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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 |
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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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