If vectors A=cosωt i^+sinωt j^ and B=cosωt/2i^+sinωt/2j^ are functions of time, then the value of t at which they are orthogonal to each other

1. t=π/4ω

2. t=π/2ω

3. t=π/ω

4. t=0 


Concept Questions :-

Position and displacement
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The position vector of a particle  as a function of time is given by r = 4 sin (2πt) i^+ 4 cos (2πt) j^ where r is in metre, t is in seconds, i^ and j^ denote unit vectors along x and y-directions, respectively. Which one of the following statements is wrong for the motion of particle?


1. Acceleration is along-R

2.  Magnitude of acceleration vector is v2/R where v is the velocity of particle

3.  Magnitude of the velocity of particle is 8 m/s

4.  Path of the particle is a circle of radius 4 m

Concept Questions :-

Circular motion
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A projectile is fired from the surface of the earth with a velocity of 5 ms-1 and angle θ with the horizontal.Another projectile fired from another planet with a velocity of 3 ms-1 at the same angle follows a trajectorywhich is identical with the trajectory of the projectile fired from the earth. The value of the acceleration dueto gravity on the planet is (in ms-2) is: (given, g = 9.8 ms-2)1. 3.52. 5.93. 16.34. 110.8

Concept Questions :-

Projectile motion
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A particle is moving such that its position coordinates (x, y) are (2m, 3m) at time t=0, (6m, 7m) at time t=2s and (13m, 14m) at time t=5s. Average velocity vector (vav) from t=0 to t=5s is

1. 15(13i^+14j^)

2. 73(i^+j^)

3. 2(i^+j^)

4. 115(i^+j^)

Concept Questions :-

Speed and velocity
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The velocity of a projectile at the initial point A is (2i+3j) m/s. Its velocity (in m/s) at point B is:


1.  -2i+3j

2.  -2i-3j

3.   2i-3j

4.  2i+3j

Concept Questions :-

Projectile motion
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The horizontal range and the maximum height of a projectile are equal.The angle of projection of the projectile is 

1. θ=tan-114                                       2. θ=tan-14

3. θ=tan-12                                          4. θ=45°

Concept Questions :-

Projectile motion
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A particle has initial velocity (2i + 3j) and acceleration (0.3i + 0.2j). The magnitude of velocity after 10s will be

1. 92units                                   2. 52units

3. 5units                                         4. 9units

Concept Questions :-

Uniformly accelerated motion
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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

(a) 7 m/s2                                             (b) 7 m/s2

(c) 5 m/s2                                             (d) 1 m/s2

Concept Questions :-

Acceleration
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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

Concept Questions :-

Projectile motion
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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°

Concept Questions :-

Projectile motion
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