To a person, going eastward in a car with a velocity of 25 km/hr, a train appears to move towards north with a velocity of 253 km/hr. The actual velocity of the train will be

(1) 25 km/hr

(2) 50 km/hr

(3) 5 km/hr

(4) 53 km/hr

Subtopic:  Relative Motion |
 78%
From NCERT
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A bus is moving with a velocity 10 m/s on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what velocity should the scooterist chase the bus

(1) 50 m/s

(2) 40 m/s

(3) 30 m/s

(4) 20 m/s

Subtopic:  Relative Motion |
 82%
From NCERT
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The x and y coordinates of the particle at any time are x=5t-2t2 and y=10t respectively, where x and y are in the metres and t is in seconds. The acceleration of the particle at t=2s is :

1. 0

2. 5m/s2

3. -4m/s2

4. -8 m/s2

Subtopic:  Acceleration |
 88%
From NCERT
NEET - 2017
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A particle is moving such that its position coordinates \((x,y)\) are \(​ (2~\text m,  3~\text m)​\) at time \(t=0,\)  \(​ (6~\text m,  7~\text m)​\) at time \(t=2~\text s\)  and \(​ (13~\text m,  14~\text m)​\) at time \(t=5~\text s.\)  The average velocity vector \((v_{avg})\) from \(t=0\) to \(t=5~\text s\) is:

1. \(\frac{1}{5}\left ( 13\hat{i}+14\hat{j} \right )\) 2. \(\frac{7}{3}\left ( \hat{i}+\hat{j} \right )\)
3. \(2\left ( \hat{i}+\hat{j} \right )\) 4. \(\frac{11}{5}\left ( \hat{i}+\hat{j} \right )\)
Subtopic:  Speed & Velocity |
 82%
From NCERT
NEET - 2014
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A body is moving with velocity 30 m/s towards east. After 10 s its velocity becomes 40 m/s towards north. The average acceleration of the body is

(1) 7 m/s2                                             

(2) 7 m/s2

(3) 5 m/s2                                             

(4) 1 m/s2

Subtopic:  Acceleration |
 84%
From NCERT
NEET - 2011
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A missile is fired for maximum range with an initial velocity of 20 m/s. If g=10 m/s2, the range of the missile is

1. 50 m                                                          2. 60 m

3. 20 m                                                          4. 40 m

Subtopic:  Projectile Motion |
 88%
From NCERT
NEET - 2011
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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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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%
From NCERT
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