The position vector of a particle r as a function of time t (in seconds) is r = 3ti^ + 2t2j^ m. The initial acceleration of the particle is:

1. 2 m/s2

2. 3 m/s2

3. 4 m/s2

4. Zero

Subtopic:  Acceleration |
 87%
From NCERT
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A particle is projected on a horizontal surface with kinetic energy K at an angle θ with the vertical. The kinetic energy of the particle at the highest point of trajectory is:

(1) K

(2) Zero

(3) K cos2θ

(4) K sin2θ

Subtopic:  Projectile Motion |
From NCERT
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Velocity and acceleration vectors of a particle moving on a circular path are shown here. At the instant shown:

                            

(1) The speed of the particle must be decreasing.

(2) Acceleration of particle must be increasing in magnitude.

(3) The dot product of v and a is positive.

(4) The magnitude of the momentum of the particle must be increasing in magnitude.

Subtopic:  Circular Motion |
 70%
From NCERT
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A cricketer can throw a ball to a maximum horizontal distance of 50 m. How much high above the ground can he throw the same ball?

(1) 50 m

(2) 25 m

(3) 75 m

(4) 100 m

Subtopic:  Projectile Motion |
 78%
From NCERT
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Coordinates of a particle as a function of time t are x = 2t, y = 4t. It can be inferred that the path of the particle will be:

1. Straight line

2. Ellipse

3. Parabola

4. Hyperbola

Subtopic:  Position & Displacement |
 74%
From NCERT
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When a man walks on a horizontal road with velocity 1 km/h, the rain appears to him coming vertically at a speed of 2 km/h. The actual speed of the rain with respect to ground is:

1. 3 km/h

2. 5 km/h

3. 1 km/h

4. 3 km/h

Subtopic:  Relative Motion |
 72%
From NCERT
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Path of a projectile as seen from another projectile :

(1) Straight

(2) Circular

(3) Hyperbolic

(4) Parabolic

Subtopic:  Projectile Motion |
 75%
From NCERT
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At an instant, the velocity and acceleration of a particle moving in the XY plane are 2i^ + 3j^ m/s and -3i^+2j^ m/s2. Rate of change of speed of the particle at this instant is:

(1) 13 m/s2

(2) -1 m/s2

(3) 1 m/s2

(4) Zero

Subtopic:  Acceleration |
From NCERT
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Which of the following statement/s is/are incorrect regarding the motion in a plane?

1. a body can't move on a curved path with constant acceleration.
2. the angle between acceleration and velocity can be \(90^\circ.\)
3. the angle between acceleration and velocity can be other than \(90^\circ.\)
4. all of the above.

Subtopic:  Circular Motion |
 57%
From NCERT
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A body started moving with an initial velocity of \(4\) m/s along the east and an acceleration \(1\) m/s2 along the north. The velocity of the body just after \(4\) s will be?

1. \(8\) m/s along East
2. \(4 \sqrt{2} \) m/s along North-East
3. \(8\) m/s along North
4. \(4 \sqrt{2} \) m/s along South-East

Subtopic:  Uniformly Accelerated Motion |
 78%
From NCERT
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