A particle has initial velocity 3i^+4j^ and has acceleration 0.4i^+0.3j^. Its speed after 10s is 

(1) 7unit                                                         

(2) 72unit

(3) 8.5 unit                                                     

(4) 10 unit

Subtopic:  Uniformly Accelerated Motion |
 91%
From NCERT
NEET - 2010
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The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is:

1. 60°                                         2. 15°

3. 30°                                          4. 45°

Subtopic:  Projectile Motion |
 69%
From NCERT
NEET - 2010
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A particle moves in space such that

x=2t3+3t+4           ;          y=t2+4t-1          ;          z=2 sin πt

Where x, y, z are measured in metre and t in second. The acceleration of the particle at t=3s is

(A)  36i^+2j^+k^  ms-2

(B)  36i^+2j^+πk^  ms-2

(C)  36i^+2j^  ms-2

(D)  12i^+2j^  ms-2

Subtopic:  Acceleration |
 71%
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The coordinates of a moving particle at a time \(t\), are given by, \(x= 5\sin 10t, y = 5\cos 10t\). It can be deduced that the speed of the particle will be:

1. \(25\) units 2. \(50\) units
3. \(10\) units 4. \(30\) units
Subtopic:  Speed & Velocity |
 56%
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If \(\overrightarrow {A}= \overrightarrow{B}+ \overrightarrow{C}\) and the magnitudes of \(\overrightarrow {A}, \overrightarrow {B},\overrightarrow {C}\) are \(5,4\) and \(3\) units, respectively. Then the angle between \(\overrightarrow {A}~\text{and}~\overrightarrow{C}\)is:
1. \(\cos^{-1}\left(\frac{3}{5}\right)\)
2. \(\cos^{-1}\left(\frac{4}{5}\right)\)
3. \(\sin^{-1}\left(\frac{3}{4}\right)\)
4. \(\frac{\pi}{2}\)

Subtopic:  Resultant of Vectors |
 70%
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Two particles are projected simultaneously from the level ground as shown in figure. They may collide after a time :

1. xsinθ2u1

2. xcosθ2u1

3. xsinθ2u1sinθ2-θ1

4. xsinθ1u2sinθ2-θ1

Subtopic:  Projectile Motion |
 65%
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A particle is moving along the path y = x2, from x = 0m to x = 2m. Then the distance traveled by the particle is:

1.  4m

2.  20m

3.  >20m

4.  <20m

Subtopic:  Position & Displacement |
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What determines the nature of the path followed by a particle:
1. Speed
2. Velocity
3. Acceleration
4. Both (2) and (3)

Subtopic:  Projectile Motion |
 78%
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A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following

(1) Straight path

(2) Circular path

(3) Parabolic path

(4) Hyperbolic path

Subtopic:  Projectile Motion |
 90%
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A projectile is fired at an angle of 45° with the horizontal. The elevation angle of the projectile at its highest point as seen from the point of projection is:

1. 60°                                           2. tan-112

3. tan-132                               4. 45°

Subtopic:  Projectile Motion |
 64%
From NCERT
NEET - 2011
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